{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "\n",
    "# 矩阵映射\n",
    "Book_4《矩阵力量》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bf19f90-a3e6-4467-9ff2-ddc385e782da",
   "metadata": {},
   "source": [
    "这段代码使用一个对称矩阵 \n",
    "$$A = \\begin{bmatrix} 1.25 & -0.75 \\\\ -0.75 & 1.25 \\end{bmatrix}$$\n",
    "对二维平面上的向量场进行变换，逐步展示矩阵如何改变几何形状。代码的主要步骤和几何效果如下：\n",
    "\n",
    "1. **生成原始向量场**：在 $[-8, 8] \\times [-8, 8]$ 的范围内生成了一个 $9 \\times 9$ 的规则网格，通过定义不同角度 $\\theta$ 的 $\\cos(\\theta)$ 和 $\\sin(\\theta)$ 计算得到网格上的方向向量 $(u, v)$。绘制原始向量场时，散布在网格上的蓝色箭头代表了不同方向的单位向量，作为初始向量场。\n",
    "\n",
    "2. **应用矩阵 $A$ 的变换**：将初始向量场展平成矩阵 \\( V \\)，然后通过矩阵乘法计算变换结果 \\( W = V \\cdot A \\)，其中每个向量通过矩阵 $A$ 进行缩放和旋转。矩阵 $A$ 的作用相当于对原始向量场进行拉伸和旋转的组合变换，绘制变换后的红色向量场，显示为红色箭头。\n",
    "\n",
    "3. **原点向量展示**：在第三幅图中，绘制了将所有向量起点移动到原点的效果。通过将所有向量的起点置为原点，可以更直观地观察出矩阵 $A$ 对方向和长度的变换效果。图中蓝色箭头表示原始向量场，红色箭头表示经过 $A$ 变换后的向量场，展示了各方向的拉伸和旋转。\n",
    "\n",
    "最终，这段代码通过三个子图依次展示了原始向量场、应用矩阵变换后整体的拉伸旋转效果，以及在原点视角下的对比，使得非对称矩阵 $A$ 的几何效果更加直观。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a7c13503-ac21-4f5e-b909-4b1dd9b6dd06",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入数值计算库\n",
    "import matplotlib.pyplot as plt  # 导入绘图库"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5902ba8-624f-41fa-8cdb-b26db47bb3af",
   "metadata": {},
   "source": [
    "## 定义矩阵 A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e017adcd-3542-44dd-8e72-d1cb74ff5bff",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.array([[1.25, -0.75],  # 定义 2x2 矩阵 A\n",
    "              [-0.75, 1.25]])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f1ee5c4-c72f-4a12-b7a4-71da85e8e212",
   "metadata": {},
   "source": [
    "## 生成网格和向量场"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "eaa3b129-1c27-4686-a44f-31be1eccc61a",
   "metadata": {},
   "outputs": [],
   "source": [
    "xx1, xx2 = np.meshgrid(np.linspace(-8, 8, 9), np.linspace(-8, 8, 9))  # 创建 -8 到 8 范围内的网格\n",
    "num_vecs = np.prod(xx1.shape)  # 计算网格向量的数量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "90262c17-608a-4908-914b-c5d7f3c9db08",
   "metadata": {},
   "outputs": [],
   "source": [
    "thetas = np.linspace(0, 2 * np.pi, num_vecs)  # 定义 0 到 2π 的角度数组\n",
    "thetas = np.reshape(thetas, (-1, 9))  # 重塑角度矩阵\n",
    "thetas = np.flipud(thetas)  # 翻转角度矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d7df277d-db2d-4976-8b64-3ac8ba5f932f",
   "metadata": {},
   "outputs": [],
   "source": [
    "uu = np.cos(thetas)  # 计算向量场 x 方向分量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "54409d28-8032-4606-952a-0ce51fc0f0fd",
   "metadata": {},
   "outputs": [],
   "source": [
    "vv = np.sin(thetas)  # 计算向量场 y 方向分量"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a37aca6-34ee-4c95-a85d-38ed4276f1b1",
   "metadata": {},
   "source": [
    "## 绘制原始向量场"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3e3cc2e5-414d-49bc-a6e5-b12233566c0d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.quiver(xx1, xx2, uu, vv,  # 绘制蓝色向量场\n",
    "          angles='xy', scale_units='xy', scale=1, \n",
    "          edgecolor='none', facecolor='b')\n",
    "\n",
    "plt.ylabel('$x_2$')  # 设置 y 轴标签\n",
    "plt.xlabel('$x_1$')  # 设置 x 轴标签\n",
    "plt.axis('scaled')  # 保持坐标轴比例\n",
    "ax.set_xlim([-10, 10])  # 设置 x 轴范围\n",
    "ax.set_ylim([-10, 10])  # 设置 y 轴范围\n",
    "ax.grid(linestyle='--', linewidth=0.25, color=[0.5, 0.5, 0.5])  # 添加网格线\n",
    "ax.set_xticks(np.linspace(-10, 10, 11))  # 设置 x 轴刻度\n",
    "ax.set_yticks(np.linspace(-10, 10, 11))  # 设置 y 轴刻度\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f34c58a-20d4-48f6-a45b-8683206e3f97",
   "metadata": {},
   "source": [
    "## 矩阵乘法应用于向量场"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "13ba6ce4-b9e5-4238-b133-010a8aa2ba92",
   "metadata": {},
   "outputs": [],
   "source": [
    "V = np.array([uu.flatten(), vv.flatten()]).T  # 将向量展平为二维数组 V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c5afc39a-a0e8-4eff-a304-d67f541a2085",
   "metadata": {},
   "outputs": [],
   "source": [
    "W = V @ A  # 将 V 乘以矩阵 A 得到 W"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4fa3e331-585b-40d6-a4fd-a7fce7cdd9a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "uu_new = np.reshape(W[:, 0], (-1, 9))  # 变换后的 x 方向分量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f695974d-af50-4691-82c4-d187a7c96692",
   "metadata": {},
   "outputs": [],
   "source": [
    "vv_new = np.reshape(W[:, 1], (-1, 9))  # 变换后的 y 方向分量"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76fd21c7-ed9b-4021-b7d2-d76730dee39b",
   "metadata": {},
   "source": [
    "## 绘制变换前后的向量场"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "442afad5-74c5-48f5-a0dd-06ea65a90fe7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.quiver(xx1, xx2, uu, vv,  # 绘制原始蓝色向量场\n",
    "          angles='xy', scale_units='xy', scale=1, \n",
    "          edgecolor='none', facecolor='b')\n",
    "ax.quiver(xx1, xx2, uu_new, vv_new,  # 绘制变换后的红色向量场\n",
    "          angles='xy', scale_units='xy', scale=1, \n",
    "          edgecolor='none', facecolor='r')\n",
    "\n",
    "plt.ylabel('$x_2$')\n",
    "plt.xlabel('$x_1$')\n",
    "plt.axis('scaled')\n",
    "ax.set_xlim([-10, 10])\n",
    "ax.set_ylim([-10, 10])\n",
    "ax.grid(linestyle='--', linewidth=0.25, color=[0.5, 0.5, 0.5])\n",
    "ax.set_xticks(np.linspace(-10, 10, 11))\n",
    "ax.set_yticks(np.linspace(-10, 10, 11))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd6e25f4-75b2-468b-9b5e-59fd3755ae51",
   "metadata": {},
   "source": [
    "## 绘制原点的向量变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "67bfc843-ed5c-4e1f-8dbd-032ee17232f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kpFBKSsqlnsZlA7nexuPAgQOS8ILBf5LwMjJYGipLdGazsKnZ7URz5hBNniz2x8URrVrlT3ozZ/KxitT4229EdeqIMR98QDR8uNgeNYro44/FduvWRH//zecHyBUfT66NG4lGjxZjJk4kOnmSKD5ekDJA1KqVkFKvuIKopERPsACT60cf8W/fu5dJWUKFlDiMhVxv4yElvCDxnyK85GSWrnw+oi+/PLvTitlMNGMGE5ZWYlq2zJ/0Pv1UkGViItHixUSVK/O2yUT0zTdEV14pjpkwgejJJ8X2NdcQLV1KZLFQWlwcpbVqRXT8OKtBlTELFhD98ot+fps3Ez3/vJ4Yf/st8O95/HGWFBMTiX744RJfjH8O0tLSKC0t7VJP47KBXG/jcejQIUl4weA/RXhERDfeyB6RH37orxYEiJKSWE0ZGan3qPz8cyHFhYcT/fqrP+lNmya2q1ZlgoqK4m2bjSXGZs3EmGnTiK67Tmw/8gjR//5HuRERlBsRQdSzJ0tkij0vJobo0CG2DSrHPPMMS3UdOggSXLkysI0PYA/S/v2ZhKdNu8QX45+B3Nxcys3NvdTTuGwg19t4nDhxQhJeMPjPEV5qqlALRkcLEtO2iRNZckpMFH1PPkn07bfC9hYSQjR/vj/pvfWW2K5Vi2j2bHZOAdix5ccfmQwVcvr+e1ZFakgw6+67KUshuYceIvr5Z7G/bVuinByidu2E9Pj770yMyvfUr88So/Y3mUxE48axanPcONH/3HMs8V7GyMrKoqysrEs9jcsGcr2Nx9GjRyXhBYP/HOERsc2tLMlFR6s2NAKIbruNaOdOJi2l7847WUpTPDPtdqLvvvMnPa1HZf36RF99JYgyNpbPoUiQoaEcj1e9Om9bLJQ5ezZl9uwpzvHpp6wCVbbvuovowAERn1e5MlFKCtHUqWJMjx7+v/GFF/j3b92q77/3XiKP5xJekEuLzMxMyszMvNTTuGwg19t4HDlyRBJeMPhPEp7PRzRoUGCVnyIlARzEvXcvUdOmou+665igQkKEQ8jnn/uTnjasoWlTtgMqNr6qVdmmpwSWx8ez5BcWRgRQbpUqlLt4MVG1aoJYV60i6t1bT4Lffiu2+/dn0urb15/kFHWnzcbOMV4vE6923PXXi2B1r/eyIkCpYjMWcr2Nh1RpBon/JOERsUOIIiGdqbVty5Jex46ir1cvdh4pJSgym9kmWJb0Hn5YbLduTfT662K7QQO9za9uXXakMZspLT6enVYWLeJwA4DDF/76S0iCISEsqWk9Od96iz05Y2LEmBMniHbsEOTasSOT2dCh/r+1Z09Wl/p8RE88cdmQnnSiMBZyvY2HdFoJEv85wisoYBVjXh7R9On+D32zmaWnYcNEX+3abNPr00f0tW/PgeeKUwpA9O67/qR3991iu0MHvf2sTRu9h2W7dkSvvy5SiyUlsZeo9vjlywV51a3LxN2kiZA2N2wgmjVLHHPDDUxgzz0n+t55h+i998on+ORkosGDOV2a231pr5cBkG7yxkKut/GQYQlB4j9HeERMTJGRRGPHCucPbWvZkr0hH3xQ9MXGMtlos6I0bsySntb29/rretIbMoTj7pTtbt04U4qyfeWV+u3+/Sll7FhKURxmRo4kevRRsf/WW4n+9z+xfc01RNu2CUmwbl3OyanN7fn116yuVFSzTid7mZb93dHRHNc3ZgyrQgGOHywpucQXrGIhA6GNhVxv4yEDz4PEf5LwvF49KSm2tbZtRZ+SWUXrdRkSwg4n99wj+mrUYJtepUqi79ln/UlPS5S9ezORKduDBnG4QOm2a/Rocg0YIPY/8wxnW1G2J0/m8Apl+5VX9LGCI0ZwcL1iA4yKIjp2jGjtWvFbe/XyD75v106oMZcuFf3Dhv2nSU9KHMZCrrfxkBJekPhPEh4RS3BlY9USE7nqgLIdGsphBd9+K9SIZjN7Q2qdUuLjeZxCMAAHeWsDza+9Vh8qMGAAO5oo2zfdpObhTElMpJSnn9Y7y3z4IXt8KnP4+WcR02c2M0Fp1bAzZuhJq2dPJnqtXbFdO5YM77xT/z1ERFlZ+rUZOpSD1v+DkBKHsZDrbTykhBck/rOER8QxaYHsWCaTkIQUCer33/X2unHj9NJfRASHO9SuLfruv9+f9LR2wKFDibp0Edv33EPUsKGw4b32mogFtNvZqUUh6ZgYzhqjbCcksHOKEkYRGsrONg88IM7/7rtE+flijqGhRE89xerOBg2E6lZxKNDm5ATYrvcfLDskJQ5jIdfbeEgJL0j8pwnP5yPq1y8w6QFCqgM4Lm/zZr0Ud/PNnBNTyWXpcPB2w4ZizOjRetIbPFi/PXy4Ptn0Y49RauPGlBofz+d96y1hn4uP1zvaNGumT5GWlES0YoWYT/PmROnpbGtU5rdzp17yGzKE12LRItF3113cp7U9Km3gQKLCQt6/axfRf+DBlZqaSqmpqZd6GpcN5Hobj4MHD0rCCwb/WcLzevnviRMidZe2PfUU0f79evLq3p1DA5o319vjZs4UpGQ2sySlTSF24416krvmGn2Yw003sbNJ6Xbe+PGUp0h2TifRpElibOPGenXqkCF6p5YHHuAKDcr2mDFcgkgJfG/bllWTd9whxsyezWuhpDkzmdh+qQ1k17Z+/Zj0Nm5kAvyX2/fy8vIoLy/vUk/jsoFcb+Nx8uRJSXjB4D9LeC4XP/Q/+khfuUDbHn6YM5hoy/I0aEC0aZM+k0mrVpyMWRvX9+KLeieY667T5+4cNEi//7bb1GTTmTExlPn004KkEhP1trdevfQ5OJ95Rn/ur7/WB6n/8IPwulTGZ2aK5NaVKrGTy9GjIvC+XTt2cim7JiEhPP6eezhmT5F0lReIfyFk5g9jIdfbeMhMK0HiP0t4RBy4bbfzQ75mTaFyrFJFTy6nTuklothYtp9pPS1r1uS8mEqeToCTQWsluYED9cQ0cKBeEhw9migqirKioigrLk6fJLp+fc6GoiVIrSr0k0+Ep6jTySEUipQYFcXSqjbB9Jo1nCRbez4ivTT5/vsijZrSRo7Ur6FiM3zwwX9tTk6Z29FYyPU2HjKXZpD4TxMekb4iOcBk9/TT+rI8deuyKlObKcVmY5J5/HHRFx3N0pVCngDR7bfr1Zm9euk9QQcMEA4jANFdd1FOYiLlREQwcWkD19u311dUHz9exACGhXHAvGK/a9SIaN48MbZTJ04rpk0wnZ+vJ9HFi/0dWNq25dCLESPEuA0bxPppPU1ffPGSXcYLQU5Ozn/3/v4HQq638Th+/LgkvGDwnyc8r1cf46Y0k0mk8VIIZe5cjsPT5tscP57j4hSvToeDY+KU7CcAe2NqVYxdu+q9M/v103l3po8ZQ+mKtBYTo4/h69tX2PtMJiYZheTq1NFnbrnhBn3NvXHjWGpTtseMITp9WqQiq1WLM9BoHViaN+f6fydPit/dvbuQ5rRSqCIV/suQnp5O6enpl3oalw3kehuPw4cPS8ILBv95wiNilaVWFXmm9vzz7NCh2L8AlpK+/lo4rphMRC+/zBKZVrIbOFBsd+igJ72rr1Y9QF1OJ7lGjxYkWqUKH6+MHTFCONo4nXpS69WLHVmU7bfe0qtVFy3SJ5heuJCTXyvbDz7Ia1LWgYWIbX/KuAULuO+TT/xfFGbOvDTX8Twh3eSNhVxv43HZhCWsWLGCBg0aRFWqVCEANG/evHM6/rIgPCKuVhCI4AYOJPriC311gaFD2SW/VSu9unHePCEtAewxqS3z0769LqMKtWqlV1H26UOUmMiB54mJRLfcolerap1c7rhDOLVUraq3J957r1BLWq1cwkiJIUxMZNulMs/KlblGoCLlmkxEq1f7O7B4POykomRnadqU82yuWeO/ZlYrpy5TcPDgP9q+JwOhjYVcb+Nx2QSeL1y4kCZMmEBz5syRhHc23Huv/8M7Opqzmhw8qA9HaN6caPt2vdRWsyYXhdXa8G64QS9xNW2qt5s1acLxcxoJzVW1Kgeem0x6dWazZqy2VLZvv11PnopTCsA1+ZxOISFqg+z79NGXFrr+es48o1R/aNyYww60DixKBhZtqMLHH/tnZFFaaCgTJxF7ib766qW6qmeFlDiMhVxv43HZSHhaSMIrB4cPs0PKnj3C9lY2Nm/CBE7KrC2rExvLjh7akIGICK7GoJX+unfXS2u1auklsvr1dWrHlIEDKUUhNotFT6rt2gkpy2rVE+LVVwsPU7tdb8/r3p0DypXt117T5+P86iuiKVPE9jPPBM7AUlIi+qpUYccXpYK70qpUYbXp8OG8ZmvWMHn/9NMlvczlQUocxkKut/G4EAnPRESEfyFMJhPmzZuHIUOGlDumuLgYxcXF6nZubi5q1KiB06dPw2w2Izw8HPn5+QgLC0NxcTEsFgsAwOv1wuFwwOVyqWO0fwsLC2Gz2eDz+UBEsNlsKCwsRFhYmN/YgoICOBwOeDwemEwmWCwWFBcXw+l0+o11uVwIDQ2F2+2G2WyGyWSC2+1GaGio31jtvK1WK4hInXfBa68hbPJk5Ldvj/DNm5E/ahTCr74ahY88Ant6OrxmM6hLF9imTkXhl18i7I03kB8ejvCCAuS/8ALCbTYUvPwyHAUF8NjtMD35JCwrV6J4/Xo4CwuR37o1wlu3Rv7s2QjPz4erenWEduqEkp9/hsXng6lqVbgrVULIhg1Ij49HWNOm8O3ejfC0NORHRyOsRQsUbdwIm8cDat8e3l274MjNRUFcHMIaNUL+9u0Iz89H/vDhCJ8/H4UWC+zR0fD26AGaMwc2jwdFY8bAuWwZ8k+c4Hl/+SXCn3gCBTk5CLFa4V68GKaHH4Zl0yaUhIYidMECHnvzzfxbhw6F66WX4Fy2DMX33svzfuwxuDdsQMiyZXDFxCA8Kwv51asjfNUq5BMhLCwMRYcPw9alCygsDN65c2Fv3vys197r9YKIYLVag7r2yn1SUlIS8Nq7XC44nU71njWZTPB4PHA4HMjIyIDT6YTP5wt4zxIRfD5fUPfs+czbbDYHdc+e6//auc4bQIX8r5Wd99nW+x/7jCgoCDiXwsJC2O129dpf7HmXlJSo96zb7UZISEjAax8WFoaioiL12mvnnZ+fj7p16yInJweRkZHnxBvmcxr9L8Orr76KqKgotdWoUeNST8kYjB0LdOkC7N4N+HzA3LnAl18CDz8MNG/OY9asAfr25XFffAE4nTz29deBbduAqVOBiAjue+01oE4dYNAgPvbAAWDRIuCWW3g7KwtYsgRQXj5OngSSk4E2bVAQGgrXzp1AkyaAwwF4PMCGDUCbNjx20yagdWvAZAIKC4G9e4H69XnfwoXAddfx59RUYP9+oEUL3v78c+Dmm/mcPh/wwgs8dwDIzwfGjQNefRWw2QCvF3joIaBjR2DgQB7z1VfAX3/xduvW3DdtGlC9OtC2rThXdjavnYKEBP5bUADccw+QmXmBF+vckZxc/r5Dhwpw7Jgr4D4i4PTpCprUZYqCggK4XIHXW6JicEHrfZGkTMOBIFSaRUVFapxMTk7OBcVv/Otw6pS+zI9WTalNMWazsS3rr790KcGoY0d24VeCsQGOU3vkEbEdGcnVxM1m3g4J4Uwlyv6EBMpPSqJ8xZ7WpYvI6RkWpleVaj0369UT6kyLRV854frrhdNNZCR7kCr7hg3TJ5h+5x22/ynbb74Z2IFl1Soxpm9foiNH2DGldWuh1lRybhLpvVp79KiQdGR//13+vmeeYY11ILz1Vj5Nn54fcN+mTaztPp/vlAiM/Px8ys8PvN4SFYNTp05JG14wuCxseFr89pu+UkLZpt13441cZ04bY1elCheF7dRJ9LVowSSikJzdzvkvlSwmFovOnpZRpw5laDOydOokYu0iI/XkWzbFmUKUUVF6Z5gxY8TcW7TQE+J77+kTTG/bxkVwFULevz+wA4tiz7Raifbu5b7Zs8W4qVPFupYttHvPPefluVlQUP6+W24hOnAg8L7evfk9IxD698+gG27ICLhvzBj+mYGwYwf/jPOZ6+WMjIwMysgIvN4SFYPLMg5PEl6Q0Dp7aNuNN3KlAa1U16wZv+ZrpTi7nUlBm52kUiWiN95gAtE+9BWCAlQHlOzISMquVk1ISwCHNCiEFRPD2U+UfVpiS0oS42rVEgHtFgtXS1fGjRgh9oWEEM2aJcIc2rRhRxOFoLt356d3WQeWPXsEEQ8bxmvn9Yp0aTVqiBp62nCMQIQYJJ57rvwKRR07ikIPWni9/J6QmOgvWGZlEcXGZlOlStl+BOVy8XFVqwb+vv/7PxayAyEvj99xJPyRnZ1N2dnZl3oalxWOHTt2eRBeXl4ebd26lbZu3UoAaPLkybR161Y6evRoUMdfloTn8eilNqUlJnLgdlaWvphreDi73n/+uQg+BziIW1vZICSE1YlKOjCFeLTb11xD2VFRlB0Z6a/CvOIK8TkuTuTKNJn047Spy1q3FqQaE6OvxP7UU4LkmjTRB5ZPmMAikVaqC1RCSBvKsWYN982cKfo++oj7xo71X0+LhSVqBTt3Eh05QmfSdg0aVH6EQ3w8a3+PH9f379olvrLs+96sWUSRkdkUGZlNv/yi36etvFT2nPv38/tA7dqB5zJ+PBNiebicNXqS8IzHZUN4f/zxBwHwa7feemtQx1+WhEdElJws7E5lK6M/8QTbp155RUhBAKfZWrXKP/l02STMjzyiLxR79dW6NGYZ11xDGUrml5AQfZJordRXqRKLIIpaUamIDuhVqlr1aOPGIk7Qbtfb7+64Q4RHmM1sj1TOGRnJT/2yGViSkwWhdunCakqPR0iDdeqwWPXKK4Gl5pgYZg8iDojv1o0mveihU6cCX5Yrr+SvO3lS368UbgCIHnpIv++zz8S+gQP1+266iSg2NoNiYzNozBj9Pu27wQ8/6PeNHi2WqazUePAgv/eU/S4Fhw+zafRyhVRpGo/LUqV5PrgsCW/6dM47OX06P9gffJBtU9rYvA4d+Mn2228iLk4hly1b9Om86tZl6U8ryQ0frk9Q3b69Si75YWGUf9VVwlnFbtdXVdASYOXKwqEkNFQfE6cNlNeWOLrqKkHANWvqs8FMniwC1uvV49Rjyr5Bg9g5pawDi7b0kCJCaVnm88/14pLS5s4l+vNPdv4hYjsgQIu6vkT9+wc28Sl8f8st+v6tW8VpQ0O5qpOCe+4R+8xmLoFIxIliYmKIwsLyKSwsn6pXF9+5b59+qo8/Ls539Ki+NrDC1wqUPAPduvnP3+tlIv2X5tm+KJBOK8bjsnRaOR9cloTndgsSiI7mzCSrV3M2Eq29LDKS03YdP67vr1SJywfddpvoCwtjSa9RI9HXpYuebBo2JGrRglISEiglIYFVmIrNz2LRJ6Ru2lR8rlpVqCYjI0UaMatV7zGqze2pVcn26CG8UyMi+Gms7LvnHj1jfPutvwNLXp6Qhhs2ZJGnpERIsQ0b8noAfO5SG2PRvQ/r1/3YMSKAPCYLdcRamj7d/9Jozadr14p+ra8MwO8rCrRCMcDTJyJauZK3ExJSKCEhhQAmTiI+XnuMlrzuv1+/b9EisU9bTL5lS//5v/UW73vttcC3XloaJ/D5L0MGnhuPyya12IXisiQ8In7yaMlCIZZ779VnKAHYnpWVxZKg0mexsJPKu+8Kxw6AEz1rpa369fXFXCtXJldSEqcWU4hN+Ww26wlT+1lb2SEuTtgSw8NF3ky7Xc8YWrK95Rbh7NK+vb6CxPffq4mtKT6eRaSyDiwffijGf/ABr6G27+23iSZO5P7Bg4kAyrNGkSdbU/k6PV0dfwB1qVJojp/0pBWS27cXdWffeEN/SSIiuMaty6VffoCXwOsVJkqn00VOp0vlY7dbr5VWpMaSEtbgav2OAKJp03gOJSX695Cy9r0dO4RgPXmy/y1XUsLvHps2XejN+8+GTC1mPC7L1GLng8uW8IiINm/2f7opLTpaXyaoaVN+on37rd7z8rrrODG1Nvn04MH6VGMxMUSjRqnbKbVrU4qWcOrW1VdT19bP09rttJ6blSsLAouPFwQYGyskwLAwQZomk96r9N57xZwrVeJqEMq+m27yd2Bxu0VoQ2IiUW4uu1MqRNy0Kas/iYS0B9DcvhoxrqBAt8afYxQlJfGpiVjdqFUlAlwCkEgvhCrtxReFFFe2LVumnW4KJSamqCT600+Bj9myRV+YQmmPPcZz0GZmU5ZaQVGR3q8okIOq4tdTnv3yvwIp4RkPKeEFicua8Ig4x2Sgp58iSWnVjCEhLNXs2KGXvho0YFuY1vbWrBl7SSqkZLNx2IDZzOWBIiL0hWOrVtXbEOvVE5+1CaW1pKdIZYBeAqxZUzjb1KghHF9iY/WeoFoP02HD9IS4YIG/A4u24sRzzxER0d4H/if6Zs/mNfV6yVufYwm3owXN/KbUcObz+a3xCHxLL7/MuwsL/S9BpUrssNKnj/++2Fh9DL22lQqZBOglPEBfPUnb3nzT338J4Di9tDT/9KsWi7AJllWRKs6rCpTc3mazeC8oi2XLLuqdfckgJTzjISW8IHHZEx6RPjm00kwmdrrwelmfptjQAI6nO3ZMn9g5NJSrC2jVlzExTAxaSfH66ymlRg0uDwToPSzj4vSSotbTU1uhoTyi06potYSsFT1atBASYEKCfr5TpwqdYo0a+grq7dqxKKbM1+kkOnWKruldQIUxpfa91q0FA2jEoV72FUKNp10LgLIQRXUtR2jzZnZECUREjz+u19RqW4sWfEplqRISWLgODWUJ79FHhYT35JN8HoeDC1Eoy1C3LqsitcukbS1bcoB6oH0uF/vlaJ15AfbpUfDnn0JyLS/mb9YsvhT/BUgJz3hICS9ISMIjYVwJ9ER74AF+qq1bpyeg2rXZq+Kdd/RkeO+9RM8+K7bNZn7qalJvufr0IZeWqLQhBhEReq/Q8ohOa4TS9pdHelqHFq24dOWV4vjISLZJKvvuu8/fgWXdOrF99930yCNET1jeFn1KxYTsbMo3ser3O9xA1auzfUxH6KVtJbpSiyZu2rFDdNfHPvWzzcbLmJQkJLA772TtcqtWnH1FeWdJSOCvX7OGQxuWLRMS3vr1/J6ybh2PUbj3mWdE+cMffhAm3NhYLlEYEuJPaErbv18vgCvtm2/4O44e1V/Odu38b78ff+Rb6NlnK/QuNwxSwjMeUsILEpLwSpGSItSF/fuL13+ARYWNG9lxRSvVWa2ciHHFCj0BdejAOiytfuz661WVZ3psLKUnJenJqXVrof50OPQ5P8sjOu0YbS5LbeiC9ju06lmtQ8sdd4jPV13Fv1/Z/u038tYv48CirIHZTHMn7SIn8ikV8YJYS6W8H6uxWFQCK1XFCQ7jq6Yhek17Bi+qRON0Ei1Bb7LATS++yHa1fv1YwFR4u39//eVTeNlsFo4uREx4sbHpFBubrhZ2J+LAcOXrp0zRn0sRYnv25EQy3buzP45WA6z4GWlLH2rbDz/we5I2MgVgVasWS5YIRxdFI1wWPp8+bek/Henp6ZSenn6pp3FZQcbhBQlJeMSv9/PnsweEw8Gv3MeO6ZM3W63sJVFSwmSmdXa5+mqONdNKiXFxLBFpdXHt2hH17k05ERGUExHBRKaNv2vYUOi+LBY9iWmJTlGHKiKN8lkJZle+H2AS1XpxKuNDQoRzjMWiJ/JnnxVk3aABpX2qsd3ddReLNaVSbVb3wQQQPYVXxZjFi4mIaNwgIbI9j2cJIDodpckTCtAS9KYhmEvPRr1DYSYXNWjA4Xr5cNIDmEITJujj9RRfoDp19JdQ6zCqfdYuW0YUEZFDERE5OsI7csRfGlOgLNF994k+n48D3hWy27dPCN9lywUCfDtpTaJK0wa/r1yp1/CW9VglYnvf/fezR+q/BUpiegnjcCFFACThXW7w+ThPlN3OwdxPP81PH6+XX/+15NaxIz+Rd+zQk1WlSuzZ+NRTos9kYm+GMsmns2++mbIVCTI8XK9urF5d/xQsT6LTkptWTaiVTBUxJCREEGl8vPDjr1lTfFeNGiJptcOhT0M2bhwtDmdbn09xYNFkcOlhXkHhyKUMMLHmt+lK5PPRk08SLQO/BJxGJbKhmLaiFa2rM5JmYTgTJqLIjiJavpyXdd8+4qd86b7BnfS2ICWhi8mkT948Z46YrrZqwrJlRFFR2RQVla0jvE2b/PiZiHSRE/S//+lvk7ZtuV/Jr7lrF6tTFywQxygkqA3R1DYlIH3DBr1jbliYXjIl4t83ZEhgNeg/GTK1mPG4kNRi/+l6eBIBYDIBn34KtGsH/P0314xr0IDr1R0+zHXwlFp169dzrbg//+TPd9/N/SkpQP/+gNkM/PADEBnJz7LXXgOsVuC++3jc6dPwLVkC33XXARYL16nbvBlISuL9J04AISFAVJQ6HpUri+9Qas+lpwOxsfw5M1OMz8kBQkP5c0kJf0dRERAWJo6rXp0/HzsGNGrEn48fB6pV4/HFxcCCBVwXEADefBMHe9yBAoTCRATvmLHA+PH8GwFMcTyBfITjXTwMAAjbugrHv16BqlWB9zEWAFAZKbgOc/GN5VZ0O/IVNjW8CQAQjRxcjSWYPRto2JCXHaW1vaKRg6EbnoamXjEaN+a/RMC+faI/Pl58Tk/XX16z2Qez2afr047RHrtnj/93AUBuLpdEBIBu3fhvkyZAvXrA7Nm8HR4ObN0KtGzJpQkdDvihalUuOdi3L5CXJ/pbtOBbR0FmJtCnDzB/PtC7t/95/snw+Xzw+XxnHyhx0XBB610BBPyPhZTwNEhNDeyBoEhijRrpywf168eeEd99J1z/Afau+OMPfZhC7dpcpcHhoLywMMoLC+PXd+1rfocO4nNoqD4KWyvdafu1Ep02PlBxpNFKi1pVqPZ3alOVDBqk17+Vxvdl1WlNEyAytGS98aEuf+b1+J6ikEXZ4HX409GTpk4lsqKEjoNtkH+iC/35J0txp48UqXP/GjdS1aoaCefECd3ab52+Tr1Eu3eLXd9+Ky7dzp16daKCZcuIwsLyKCwsTyfhacMOtXnWP/5Y9CspyoiIfv1V9GvDB0pKhMZYSSZ9/Dgn7dEeo9w2H36ovwxKu/tucc6jR/XmVm3+bS18vvIrS1xK5OXlUV5e3tkHSlw0nDx58ryf45LwLmfs3KknkbKtc2e9I0hsLBPeoUN6woqOZuOQNgDd4SAaP55SmzalVEUl2bGjPraueXPhEmix6IlO+6RUnrKAnmy1qcqUPi2pam1+yrnNZtUQVWJxkLd5C9GvqZbwDF6kvWC7X6Y5lvYvO6o61OxHPbKhmF6G8OwYHL+aHA6ifaNEsNy4flvFWpfq/XIRTqFwqcUYaM8e3ZqfrC5SrpSUCC7XejVqQxpmzBD9y5YRxcenUnx8qo7wtM6oWofCRx8VS6a1HSoOKzabfrwmxt7P6UTJ7hYVxSUUbbbAZAdwVjoiTjumtQk6HIHr7uXniwRA/zSkpqZSamrqpZ7GZYWDBw9KwgsGkvACYOlS/3xVALvvuVz8tNGWzQE4O0lqqn+qjjFjuACrppqC68YbydWlixhTs6YoyAqwNFieHU9ru9MSs9YjVLHXadOWaElROc5iEQQZE6MyyXF7HfKGlH5/3bpqgFqRyUGjIUSgzx130f7xn6rb9+M9ikMa5YElzV21+tGjjxJRcjK5zTyXGaY7OTyBSJfNZRh+UDOa0MaN/muvYTElg8rw4eKSud1iqDaPZdmwBAWKiTI0VH/pBwzg/vbt9f1KRaakJH2/kgEmNFRfEujwYSHVPfywGPv44/ravEr7809WCmgvExC4Ht+uXWw+HjIkwL37D4AMSzAeMiwhSEjCKwdatz9tq1tX6LR+/VVPRtWrs/5p0SK9JNWiBUuBpR4NKYmJlNK1q96nPSyMk00r27GxeilO+z1aJxWt9KY4qShkpogIgcZqc3Fqibb08zqLJln2sGHq+f5EF5oNroTuhYmutK+hzGpctSHNFE+xlmx6A4+LYzdsICKijH4cc+BCKL09obR0TEmJqp79HtdT7dqlUtUff/ituy8+XnVVVAqxt2ihv2TKsqjESXyplMBzLeEpRFWzpv4ciqZ31CjRV1go3leefFL0ezxCYisbNP7002L6WicaIhH1ERIitNCffqqvMKW0srUBZ84Ux3z/feBb91JDBp4bDxl4HiQk4Z0Bin4L8A9MV/RJ6el6l36Ak0wfPKgPa3A6WY/Wpw+nFnM6+XX+7rv10qQ23ZjdXr6XZnnSndajVBExtH2K5KiNpNbYBD01hW1vKzRS5/Dh6ucJeJFc4PNsQDsaiJ/Vfb+0Hk+VcJoKUPqdSuDZmjXqmBej3hLptUqZpwAhFI5c2ryZyk92+cADRCTIxOEg8iz5XVV3Kk6m2lKQ5Ul4ipTVtq3oKygQS/bKK6J/xQoxhQULRP/y5aJfG9pQVCTed3r31t9SmmWgRx/lykoBYvHLvi9QUZFeqRAeHljV+U+AlPCMh5TwgoQkvDPA4+EHdmIiix4zZuiJpmpVjtnz+dgLomyw+oYN/OTUEtrIkZTy9NMitRjA3g5aR5QrrtCrI7U2Pq1KszzpTivVBSBCX+m5fQ4NEWqeurk2lizzEEaZ4N/kia9E3tL8nrkIp9cgqqX/OuQD2l2NA9m9jhCqYztO70JTWWLbNiKfj9JrcRT2AdSlH+eVeqgsW6aO+z98Q08/TfqK6qXNFRbPJL19u670XtatD/I1IDavAvrCrOVJeErx16uvFn3btonzaiunv/yyeH/Q2syUyAy7nfN9KvjmG3GeuXP1t5QSoeJ0st0xJ4e13q++qk/kA7AZ2ONh87A2BSrgXy9Qe8v+/HMwN3fFQUp4xkNKeEFCEl45OHqU82D+9JNeZDh5kujaa/VPnxEj+Ol17Jg+g4kSrL5ihS5FmKtpU3JNnqx/tU9K0rvm1amjz1asJb1AsXZa6U15CitP6QBE6AP3e0M1x5fqyjy2EPKU7j8AIfFltOiufl6EvrQXXMnBExXLqtzSfaub3EFVcYKKUDqH668nIqKS6Z+oY55p+wuvp8ejBtj/iGuoYUMi3/RSdbJGqn6k5zYOetu+nTZsEFNObd2bpWISCaM7dhSXqzwJTwmhvPFG0Tdrljjv7t2iXyls0aqV6PN6RQKcQYP0t46ima5WTVSCINJLik89pT9m61a9rxLAqtsff/RPWg2wNr0sdu7kLHWBShMZCSnhGQ8p4QUJSXhnwBdf8NPFZmOHlWefZftSQQEbULRSWmwsV/32eFh1WTZYfcMGNVFzWlwcpVWqRDRhgohmBlh9qVWdRkXpiU6r3ixPotN+r+LOqCW9UiL0aZ6eJTbNuUqfumkQkuRONFY/b4oRato3TELK8915l5qE0mc2U1vbXzQNY8T379xJ5HKRK4Slx1/QX2QWKRWVimGjaGTSyfFTWUwqLRhLAD0dNkX1mszNFdPNjSx1ady4Uc2QVq+euITLlhHFxaVRXFyajvAU7fCDD4q+554Ty1ZSwn1ut9AY33+/GLt2rZiDNlG0VkosW/VcubTh4fpsMF6vSKfqcBD9/jtfXm2+Am2LjxfzI+L0Z88/z7dpRIRe2rwUSEtLo7S0tEs7icsMhw4dkoQXDCThnQVvvun/xAkJ4ZyT48b515rp14+lw5079WTmdLLv+fvvU25sLOUqT9F+/fShCxaLcBVUCEhbE0+r+tSqPbUJrLXeD4q4oLXZlY71mISqtdhk9zs2BQmaz0yAeeZIygxl4s0PiaWfwXP1mUysByw9fmft/lQTR6gEVp0olXUXO7R4YaJX7ihlvFWr1O+5DZ/SixPF0zw3niXMORiqk7qqVSOKQpb4Tf/3f6qDbFSUGLdsGVF4eC6Fh+eqhOfziWXRkpKSCqxxY9GndRjVOok8/rhYyowM0a84w1it+rp3v/8uzvPMM/pbTOsf9cIL3DdsGJcYLFNcggB9yrN16/QJfxSP0EuJ3Nxcys3NvdTTuKxw4sQJSXjBQBJeEHjiCf+njrY5HHqPyvBwLrVTWMhPNy3Z9OtHWT//TFlao0yVKuz+p5XOunXTO6Noi8I6neKcJlNgUtOSodKv3V/6uRiCKBU1pk8jPeaDPysB5QSQr4VwZlkSco3qwOJu005Xaqm//TeagTvE9+3bR3TwIHlLv2eq41F2vPB6VUn2V/TVeV9mD7udCKA0xNFH00Xurd69iTpB4wFisdAHTx9VN4uLedyyZUTR0VkUHZ2lEl5mpjhMqWZOJCJDhg4VfZMni7GnT3Ofzye8Ofv00cw1W3hQjhgh+n0+oeaMitLnxUxJEbdOgwYikNzt5uPuu8//dlu1iigvj3N7aoV3s5ntfZcaWVlZlPVPDBD8D+Po0aOS8IKBJLwg4POxHS8Q2cXFsWSTm8s6L+0TqGtX9klfu1YnpWXVqkVZn3yir1JgMrHHpjbZdN26+vJAWvWmNoZOI7Xpvl8j9fmU/gDxhcWw+fV5HKUkBjH+GDRVGzSE/SVuEv1vv60anY5Xakv1sZc8KCXa224jIqKU9gOJAMpENH05vdTW89hj6vfFI5X27i1d+s8+V889btAO9ZLcfz/R7fhEN+cdfR9TNxXpKhDh7dsnDvvhB+7zeMRyPv20uPRDhggyUrB5szh+uqag+/80tXBXrBD92uLxigSnQHtbLV2q3zdvntjXnCM/qGZNtt9pcx8orbx6eh4Pa+eNSkAtCc94SMILEpLwgkRJCbv/lX3KmEwcoqDYLFat0tehczjYUzMrS60imhsezirNm27iygtab8tOnfT16sLC9EHpMTF6m502nVigQC4NwSmOKoGKuymqRy3BKZ+9TvEdaeYE8btKRZN0R1XaDyZqd1SsMIYBdJvjG/oSN4u5HD5MngUi59bLtT/mddPoDu/GdBEWcPiw2v9M7FT1crz/PtGbeEz/G5yRFIEcArh4BVFglaY2NOCPP7jv4EHR9+WX3OfzCafYO+4Qt4KSdcVsJjWI3ucTPkfNmoksLT6fSMATE6O3r2mdWEaO1N9ux44JyS8+nn2l+vbVqy/Ltj//1J/D52Ofq2bNuH6gUZAqTeMhVZpBQhLeOcDlEr7vZVtsLL/uezysypwwQS9NtW7NosHChZTWqBGlKba46tX59Vur4oyJYbuelpi0+202veteoIByTfNpzqM6qwQgPUUSK9GoOVUyCQlXx6ikqBEzFplFDT3vbXeokmlmVC1qju2qGpPuuYfI66XMOJZ4t6IVbVjv46dzqXS7DD3oiivEsufE8vd8j+vVvJfLlhH9gv5+83wYkwkQuQECOa1ow/x2lAqNv/wi+pTYt127RJ/imOLzifeZ7t3FHDXRFWqaMCIOEVD6tbF9xcVsowM4HFNr7/N49OGYSuzfZ5/xO5Ii7Wlbu3b6VGirV4vsMCEh+rygFQ3ptGI8pNNKkJCEd47IzBSv2VOm+OeJuuIKUp+sW7fqHVcsFqJx48i1fz+5yhZLu/9+XckdAlifps3Y0qCBntC0MXlae592TKkq0wt/gvOVV8YbII/JKuZc2uc2sepTa8/T2hZXgJ+wPpNJJ+U97XhbLQfks9uJjh+nvJeEcezl/qt4vUpFJy9MVBmn6PBh7s4YNIoIoGQk0tdf8VP91Cmiw6jlN+/DqEUWuFUHExGWkE9/zWR2+1RkQ1Ptcm+9JfoU4WT6dNF38CD3/f236HvvPXFbKElzwsOFFOfziQKw8fFsd1Pw2muBz0PEjjTKvoce0u/zegOnJlMC33fu9I+aGTcu+Nv7YkCGJRgPGZYQJCThnQdOnGAJRtEhLV4s0nwoJKOoOd1uroqusbeltG9PKb/8QvTVV/qYuiZNOKRBS2TNmumrGcTG6vdrPweKw9ORnsnvSakQoa9MPwHkVex+Nn8bn1L7jsxmVa16wlqTXKUZVkpatVNzcBaExFBn/CmOf+ABosxMKrKwQ8x35pHspr99uzrmAUyht9/m5fV+LGx1zw3fRUREvtw8fwIvne8N+E51RlECzzslrqbkYfcSEdEbb4jDFPf+0aN5u1o1cZlvKjVNVq0qpKcXXhDHKlLTyZPiveDee8Xxc+eKsW++KfqPHBFRJW3a6GP1Vq0Swnfr1v7VELTlFhUVatWq7KwyerS/4B4TY3yCaRl4bjxk4HmQkIR3jti6lXNKbd7MhhYFRUWss9KSjlbNuXevqqdSU4vdey+/kpcNVn/iCb1OKyxMRD8rJKP1WtCQps9aTqiC+QzEhvIJsey5vJrzq84uGil0ZamUp4onpZ+nOJ6gebiW5xASQnT6NCVfezeTI6z0wbOndIawVehMnTuXru2BA+p5nq9cymQbN1KJyabL2+mb8h5dZ55Lj+FNNdxAkfCecb5AhdXqEhEFDF9QvCi1qcAUHyGtfU2p+NSpk+h7/nnxkxXbodcrxlaqpK+woEhgSi1dBZmZwkfJ6dQHvxNxoh/le1q1Ykmyfn2+VbT+S9r21lvl38o7d1ZMejIp4RkPKeEFCUl454jCQo6dM5v5iTZ6NDuebNvGr+pHj5av5vR6iT74gFJq1xapxapXZ0PPO+/oVZEdOzJhaF/Zu3XTB5xrPTgdDnWsjri09rszkJ7aVyolBRqjNLfFrhKV2l8aFO81mekImClKImI5XhEgt9VBAzQ5N+mxx8i3TUh078S8wCkxNexRA0dZivL5KCeqOhFA32IEpaYS0YYN9Mzg7QT4yGUqXZNx49SA8tK0m6qEtyKxlIj376fbOdJBDVD3+UTSG+W4I0fEVBWbnNa7UyGSkhJRzqdbN3GbfP+9GPvuu6Jfaz8cM0b0+3z62+aTT/S33W+/ifeXKlW45p7iPKyoTcu2GjX4dtXC6yVauJD9orQ1+C4mpIRnPKSEFyQk4Z0HCgv1npRKczr5qffYY+y0oi2yqlFzuvbtI1dZQ8tNN7E+q2yw+mOPiRxWAEt22qSL8fF6T0y7IE3FCcWnCVXwmcq325UlPYU4A0uFfJ48aAi4VI162CTm5xlynXq+WfZbVEcTn9NJlJpKpxp0IwLoJKrQ4gUlugqvj+FN+t//eMlTr2b94ilUprlzWL+o2MF2oNSmOmKE6tChFGNdtoyoifNvlqgBoqlT1Tp1ipSWmupPbtp8nYpjy6uvij4l3m32bNGnFKT1ePTqRoV08vOFYJ6YqA8T+OgjcZ4RI/QOKLt2CSHe6STatEns8/n4/F01grXStBlgXC5WNiillapUqThVp5TwjIeU8IKEJLzzREGBvhpCoBYayk/eMmrO1KlTKfX0afY00GZOiY9nu9748XrJrndvfUYXu11v17PbdU4rJXZBQoE8Ls+ouixnrHqMyf9YNWemxlv0bzQRZDtAZGMZhc/EsU8/TYVffKduv37Fd0RE5Cu1/W1AO+rRg5fbPU0wwiu3cZDejz9y108ordLevr2avksJCF+2jOiJ+NdEwd1BgygpSf1IRPrwAMW78667eDsmRlRib9eO+7QVFhRtdGKiCHbXJo/WemyOGyf6ldAHIlYtKrdI7dp6IkpNFe9NJpO+mjuRUDiUvXTNmjHxnjzJt5P2NgP0ybEvNmQBWOMhC8AGCUl4FwCXy79skNKqVBGF0MqoOfPCwigvKYnVnKmpag5KtV1zDT/ZtCnFYmOJbr9d74zSrJk+9EHzVCs0C5K9UNLzlT1GUY0GkhZLwyVKTDYqAEubRY1bqvP+w9aHloJfFHwREUTJyZQdxurQ5biSjhwhnSjVwLSfVZgafeLLNT8kIjaLAiQqM8THq96Sbdrw0i9bRvRH2JWUp8QrhoVR0/rFBKhx8LrUXkp4gBJ6oFQ30qo4J03iPm3YwoQJ3Od2C8fVGjWE08nOnUIl2aOHkOAKC4Wtz2IhUfW9dJ82CkZx4tHu15Jdv37Cw/Odd4huvjmgv5GSy7vCkJeXR3lal1SJCsfJkycl4QUDSXgXiPx8vYOJtnXpon+ClXpzZsbEUGZMjN6b8+ef9arLyEgOe1CSMyptwAA2PinbCQn613dNijNV8gKoRBNQ7lP/Bk96fk1Re5bm49SRaikhHoXIDOO7Wkioj0KTn/S55yjt/ufV7Sl3btdFgT+NSfTRR8R2vHAmxm9wI+XmMrnY7UQP4R11/EN35KpkQ0S0+rvjYr1Lx1wTvowAzodJJLKhRUUxEaWkiOkp3pVvvy36lPeYBx8UP1eJD/z8czHuo4+4z+cT5YhsNiZKBfff70+kRCxVjhwp9o0Zo1dzBiK7wkJ2HNY6/pZtMTEiFKOikJmZSZlGpXWRICKiI0eOSMILBpLwLgLy8vTVysuq/YYNYwmFiKioiLInTaLsspUWpk/nLMSl2VjU1qMH0ccfqyV0CGBHF40N0Wc26+16GhWqVpLzaD6fySnlXJtyLtVrU5eAmlWJxeExqvS3w9pKxOxFRxPt3Uvu0ri/L0LupqIiIl9pepLtaEF9+/LSnb6KGeA4qtGiX/np36wZ0WDMV7/vf3dtV5eAiGjvA/+j7KgoytawwKt4igC2ARIJ4lDKCmntcooXpSJpNW/O2/n5/E4CsNclETuwKJnh6tQRIQ9K0Q1An7ZMUckC7NujFsUlookTxb6rr9ZXRyiP7BQsX+5/Gynt008D38K5uaxmVTLPXAiys7MpOzv7wk8kETSOHTsmCS8YSMK7SMjNJdU49O67HHit9ai0WonGjiVKSaGcnBzK2bWrfG/O5cv16syQED7f0KG68d4+VwsPRYAK4mvo9vs0xOMJEHgeyB530Vrpby+ExommQyf18+uacAKaNImOdeFA/Hw46YePs3QiVQvLTsrMJCqaIiLB376XKy0MG0bUHH+p/T+Nnq+e1uUiymzdg3IiIihHY1/cgtYEsJs/kXAkUVScDz/gUX9CSQnbwZRzPvccj9E6mSxezH0ff+xPLBkZImqjVi0RnnDihPAMjYvTZ0LREmSzZpyUWsHZyI6IteTa9y+l9e6tlxKLitiWN3w432I9e+pJ93yRk5MjnycG4/jx45LwgoEkvIuInBwWE2bO5O1Tp1glqbWzhYdT+osvUvrx4zymvKD1Y8c4YKxserGXXxaiBUAltevTPrPI3ZmLCCqyaiS8kDM7sFws0juTxJgMlma9MKk+/Cct1Wkd2vOxcXHkXrhYHT+lzjvsd1+6/Tyepc8/J50H52sNmK2eeYYoDCIIfePN76hffWxzKvnMZkqPjaV0bbFdgBKRTPPnMwEp3YrE92b1dwlgnyQiLnyhjPnrLyYNxWeofn1WPxYXiyiR+vVFMLlW0vrpJ+7zePSmX6WfiB1oFLtbYiLbDhUEQ3a7d+vzjyu+Ok4na4o9Hg5xuOMOveqzShWRF/RCkZ6eTunagn8SFY7Dhw9LwgsGkvAuMrKz9UYaIt7WhCG4nE5y1anDIobHc+ag9XXr9MmjrVYOFlOMQgB5LVZajSTdAz1VU8C12CKikrU18C5UrVn2eMUm6FakSQ3RF5WqO4uqi6fxp7hNHP/GG3S6Ev/OfahP27d6yVfqa78bjeiaQZxvM9fJgXZfm2+hoiKir7/mw5XafUeufUA95eFnPqaiuKr0ofNONSwhpccNlIMIuhlf0urVRFu2iCn8+CNR3rq/6TQqESAqG5SGElKDBkx22uTTiiPJtGmi76uvuG/9evE+oag9ifidRRmrxP0RsdZb4eWQEL70CoIhO64MIcbcfbfIyf3QQ9y0mnGlWSz66g4XChmWYDxkWEKQkIR3kVBUxH7nDzxA9MEH/AQpm0B35Uqijh0pJTFRBJ43a8bZgX2+8oPWV6/mp6TWQ7NJE/4uTbD6bjSiTESp2+kQUo1bo9LUOqt4L5DsyiNN1XZYKq4UQJCur1SHmGOKpK1gkvNVqkRZLwtRasrARTrRqr1tK+XmEp3scgMTG2rSnyt9aqmedWCbX3a3Qeo0Vk/dQn8sKqL+iQvU9V42aQ3FIY164jfau1cfQrB3L1Fqu/7kgZlM8NKyZaweVIRsJSflzTcLUsrIYOJR/I0aN+Z3GLdbBIQ7ncKpZfVq8R7QsqUgrfR0vRZbKVtEFBzZffqpvkLUm2/yLZWaqi/VGKgpku3Fggw8Nx4y8DxISMK7iMjNFeKA0hISWBq7914umPbbb+T64ANyKZHJSuvRg1/HicpXc65erfdTN5k4YF0jAboQSvsgnpyFcOikukBVEs4lRCEQ6QXbcsGhAcUhQiX7oxJDBxC9+Sbl2VhE+cUyiHL3J6vZYV7BOPr2W6L8N95Xx0997BDl5/Pmt2AbYHGDpurpvv6apZ6+zoWqhDf76Y3q/owM4RxitxN5fhGF6+KtWeRy6W11GzcygSjvHbffzpdryhQxZtYs/77XX+e+rCxhLwwNFYqAoiLOVxCIgM5Gdl4vO8Io+0NDOYenFikp+vRn2jZokIgzvFiQEp7xkBJekJCEd5FRWCiqhpbTUhITKeXKK9kPXZv8GWBf9IMHA6o5iyNi6Y8R0yh5/BTyaevg1apFNHKkrvrBXjTQSW+eUM14TXDW2SS1CyG7splbtM1TjR1simGj3WBy91WrRseve1Al4S+eP0S+qziy+xBq0/XDfLpyBW81/4yI2HY2CfzU9zmdBPgIYN+hZcuIhibOViW8j8ZuU3nf6xVVDlo2deuKzQ1rw+URlHj/WrVYYtJWOdi4kW2AipqweXM+58mTIga/WTN2fPH5iG64QRz7cWkZQJ+PK0Ep/aNH62P0zkR2BQX6c1auLN6ZtNi6VV+iUXvbZGT4j/f5OG7wvffYf+pcISU84yElvCAhCa8C4Hbrq5mXaa6BA8mluOXl5HDUstZ+Z7NxcFh6ekA150ZcQbfHzqe/qvbVn3vAACqoUlvdzkYkpUPos0rsGtLT2NfOV8ILhuzUc5d+n+K16YVJJcJVGvuj7wVRG+eTuCfI96EQsbo51pMr30e5IfyS8JX1NvJ42G3/TohxtUKSCWCHlmXLiIY6Z6sS3iujdhHAgjeRqC33QZsPdfN/b9RGyswUasJHH2VVpRL90b49H68tKzRnDvdpKz+tXMl92sTPN9wgSE1bCqhnT5Gt5Wxkl5zM/lHK/hYthNpUgc/HkqZWE64Qsd0u6v4RsY/Q55+zurY0LSrdcoveqzNYSAnPeEgJL0hIwqsg+Hxc9SAAGaTUq0cpzz+vzyF14gSTpFblGBXFIkVBgZ+a0wsTfYg76V5MFaV6ACqKSqT9dfV5Po9DBLR7TNZykkdXYIhCmaYUkC2JEtLtYbCLo69WbTrShJ/0GYihNd8fI6+FWedtPEJz5hAd68AvAAdRhzZvZmeMXliqnuvaxDUEsIfksmVENyZ8RSmlsQGPXrufADaBKoHr4cilvLBE3RzXvbhYFx6wejWbWpXtzz7j8Esl5KBNG77kS5aIMUqYw+7dIkKlVi1x2WfOFGMbNxa5Nc9Gdn//rQ+77N9fX0mdiFWvAweKMTYbZ19RVLRvvMEhCWPHBpb+ysb+nQukhGc8pIQXJCThVTBef93vaZIfFkb5YWEcXjBhgt655a+/1NyTaqtenV+/XS6iV14hn0YaTEcsPYY36HtcrztmvSWJCiMFoWSbonXZVrRlfio0Hu8szVeqXt2Fxmpf4ZiH1M/T2n1C3n79VeK+6f+8lP3Se+r+Gc8epenTiepAk52l1jcEsGC8bBnRTWFf8noDdMuVRwhgm9n+/XzIyxjvf41mfEuDB/Nm1aqsqlQuS0wMv4Nok0n/9BOTkuJ4EhPDpFNYqJYFJIuFiZOI/yr+RvHxosDs2chuyRJdVAqNHauvp0fEYQeKlAbwe9Lmzbxvxgz2BD3TJb/iClEE93yQn59P+fn5538CiXPGqVOnJOEFA0l4BuDjj4Xk9u67lNG7N2Vo48LCwlga1AZC/f67vnICwM4pixYRHT1Krv7+as4n8DqdgvA790VF8dNLMy5L48WplPkhIKAzy0UltjLkqsQEltgEeStz99atR6kRHL6wBW0o653P1DF9nSupeKMoKzSl3Ze0fDmRFSVqcP1n9V8mgH2Fli0juj12hrrefVucJIDouuuYpGriiC44XiXdt99XCWnsWCYkhSQee4wlKuUStm/P0p3WMeRDTvepLQlIL73EfQcOCNOtwyFI8Gxk9+GHQhNtNrO6UouSEnZg0ZLZ7bfrK63n53P4hdYjVNvq1r3weLyMjAzKCGQclKgwyDi8ICEJzyDMmcP6s7/+ouysLMpeuNDfozMkhBM0KvY9r5f1Xlr9FcBpxbZsocMfLqZ9Zr2a8zOMonnhN+nHN2umq6aQrSG9s9nvztepJSDZldO8Dg5ZOAEhlmT2Fwm1vxq1hDxWJuf/YSwt+MlLeQ5mm69CRlNyMg89BF6nP+reof7sZcuI7oqcTtmlYlGb6qkEcIzaG28QfY0bA85p+w0vqZt//CGKxgIsGb70UuklQwH9+iv3KQTZqRNfup815f+6d2cbYGamKNEDiBwFZyI7r5dJVtkXFsbn1uLQIb1NLyJCnLssfvpJXz9YafHxIgPehUCmFjMeMrVYkJCEZyB+/51o3z79A2HVKn3pH4CJccwYyvv7CC1ZQnT6SBHR5Mn6gCqTieiWW2jdV3tpguUVckGv5pyMhynZqSHK0FBd0mkPLCL3JQJXPrgYZBccmQrSVWIHvfUbUpGZiXBO6E3kHngtEThryx2j3HSkzRAigPajHu3axUvzO/gFYm/1qwjgSuPLlhHdGzlVJbyqziwCuGTOc9dsptVIoqmR48gdFqmb28/1HyaAbXT5+SI/d79+bIOLjiZ6Bi/S9a33k9crLqHZzF6RJ08KKS42lp1Ciov1xe2VquxnIrv8fL3Tb7VqHCyvxcyZejVnx45CRarFkSOkqmnLNqdTX31dC5+Pf8/ixfrK7eVBEp7xkIQXJCThGY+AKp/16/2fRlYr7elyB9XHfkpMJBraI5OWtX+SPDaNCs7hoN2Dn6Dm+IvmmPVqzs1oQ99Z/o+8WjKrWVMXlpCvKeDqPQPpVRTZKRKm8pu0KtfTTZkdimGjzfd8oPZfG/4bnR73jrr99esnqHNnohlgz9jM6NoEsPrv99+JHoqdrKo0Q+EigN8fkjpx+MIN3UV5hPF4mfIGjqCvLaMI4PBHbTHYn34ievZZoifwOuUggn5b4tVVN3/4YZbktMQ2fz6ThtZxV/GAPBPZnTyp10i3aaPPuZmXR2r1dpS+Az39tL+zSXEx+z5pU7smJHCwurJOv/zCY4uKmFA//5zokUf4dyg1hr/++gLub4kKhVRpBglJeAbA4+GYuj59iG6/nfKfeYby33+f9VJbtrB3g+L/vXWrCA7TENFXppupEXYTQFQDR+lzjNKpI3NtMTQx7G0qnP0zuevp1ZzzcC0ddGhc8axWXY6pgDk2K7CdjURzwOpXd90Gat+XtSeS285S7Ee4k9a8L3KCvd/lG7rjDqLxeFldLytKVIJ6LOwN1WlF6f/iC5GG6+NB89VzXV99Lc2d46OuWEkAm0w7dRLvCikpRE853iECaFtkN8rOVtODUtWq7OyhdWYZO5YvqzZ+78ormVjORHbbtrGvkrJv8GC9LW7LFn1ugipV2FmlLFasIGraVE+KY8awajUvjzXd11/PJRnLlldUms3mH8x+JkinFeMhnVaChCQ8g6BELZtMlJKQoLrJq81uZ1td164cyPXdd/wU0jiTeGGiWRhOzfEXAUStsJUWQx+C4Ktdm1/PX36ZPA69mvMnDFLL8Kiv+RoPBy3xVZRkdyYC9JTOTetEkhLHBq/jqEaZva5Xf8t9owvVrCzfhN9Nb75J9H8QecLq4CABnNdyXMIkdb2VoHQlBydAtKUPG+iKYKe7by1S6/FGR3M+S2XcK68Qzb9aZHo5PuxBtZYeQPT990Rr1wrSaNGCvTl/+EGMadCAwyvPRHa//KIzudIjj4gqBj4fhxdoY+sGDuR3Ji1SU4luvVW/1G3b6tWWHg97sp7JYzMkhGjhwnO71WVYgvGQYQlBQhKewfjpJ3IlJKiB0H7NZGJ9myLx7d3LAV1lXr3nYgi1xSYCiPpgMZ2u1Mr/6TZzJnmH6tWcf6Mp7bJoXvnNZl3afD3pVXy4QnnEqtgki6rVUft+aytKCo2MWkgHm19DBNAeNKRPPiHqBJHVuReWEsDZ3J5xvkAup5M8Zqv6FdNFpSFKbsh5vVahM338sbCH3XorZz4BWMo5+cLHujkefeEz9X2kb1+27dUpnW5oKGcrWb+eSQNgW96+fWcmu6lTxTuOxcJJqRWkpOgjVux29tTUBod7vfzbtObeyEjOmhKo9I/Pp3eI0bawsPOrjycDz42HDDwPEpLwjEfK6tWUUjbkQGk1a3JCxrKGmEOHiO6+Wx8/B9ACDKBOWENmeOiF+l9QYYK+Jh717080fTqV1NWrOdegExWaREJn0tSLOxMRGUWA2vp9eTZ+eq+yXEnFITzPzzGK1g8XaU6mP3eKEpGsbt+JjwjgnNvPJ06klMREKrGFql+leFnaUEwlVl6HN/GYLiPKzJkiAc60Tl/4ebTe3ILTlDkcTGTaCuUffshOIpUqCcJcsaJ8svN4RAV15XL8+qu4/EuX6isdNGrE2m8ttmzRe2oCPKdTp/zvQZ+PJckyUStqi4piafW87m8p4RkOKeEFCUl4xsPlcpHr+HF9UbSyrUoVrjZ68qT+4GPH6PT19/vFji1FL7oSyykEBfRBndfJHRYl9ptMRKNGET31FHnsQs2ZiWjajTJpNjRB7e5ARWMNIDvlr1JSyBUrMsUcbMbJprMRSW8NW632f9hzFjnsPtUJZxKeJoDDG19xPkUup5MK7JHq1yl16npGbBAkGTuHbruNN8PDOWwBIBqOWbo8pQSQx2pX7YHPP8+ZV5Tdw4axtKdJzUlffFE+2eXm6rOi1KzJ+QeI+L3nqaf0asfRo9l7U0FODsf7aafYoAEHqZeFkg1GsUsqTathj4/39wQ95/tbSniGQkp4QUISnvFQ34BLSriKguYp5a1cRf9gNVvpSNII2vreStq/z6e6hf+1+BS9H/KozsuSAFqBbtQbSygWafRDjUf0EmFoKNHYseQeqPcGPYxalAdNns2QEP3TsAwRVSTZldcUiW9lhNDpjY6ZQ/lW1j/OjL6XWrQg+husrv0WIwjgeLvXEx+nlMREyg2JJ4Alst69+TTv1H5XPd/d15xSg8lHjGDSGIo5aio0bdtqaUsAB3Bv387qP4CoRg22n119tRg+cWL5ZHf8uMjEAnAQ++nTfI0PHCDq0EHsi4wU1RiImLy++044zSi/7cUX/csHEXGIRmmJQbXFxXEyoNxc3q5ShVWxREyq+/ZxAumZMzlv6KOPstT44IN60g14f0sYBinhBQlJeMbD7w142jQ22IwcSVRSQq7PvqMdsd38HrLb0JLuxEdUJTKfmjTht/Q64ankeuhpP5XkWnSkAVhAtXGQllX5P/254uOJ7ruPimoJL0gvTHQItfTjrJfGiUX7fQrZ5DtZBMlDGLkc0UxyGEk7ajIB7kQTGjyY6KfSckMbLR0I4CV9x/kguZxOygipQgDHstUo1fyuqsGZng+htk6lOHEiUTesoBQkULE26XZp+xijCeD8mkrdO7OZk0Vrq5yPHMmOK4HIbvNmPVkNGybi3L75Rn9JO3VirbaC/fv1pKqc98AB//tt1Sr/HAfR0azuVVKInTjBpN2pEwfGa+P6yrYbbiif7ALe3xIVDinhBQlJeMYjPT2d0tPT9Z3LlrFXZik8HqIpd2yjD3GXnxSXhSh6G49Q6/D9IjYqI4NVoBoHFAJoE9rSEMyldlhP2+N66J9cdeuSb+T/kdsmJLpchFMONE/aS0h65bW9sayPy4eTvmvxktp/5+AUmoIHiABKNycQwCbM9+LGUnpcHCWH1CSAvSeV06U6OWn1N/g/tdROaCjRNewPQxERRJOuXe83h/swlUaMYA9KpfuFF7gCurKdlMSqzX79iCxw68hu/nx9XNxTT7HDSW6u3rvSZOJ0q4pJt7CQL7Om7i9VrcqeoGUrG6xb50+KkZGsgg0UF/7JJ/o5BWovv3z2CgoB72+JCoWMwwsSkvCMR05OTuD11gZalWLWLKIqIZn0MCbrCrsqLb1DP/L9vEC44GVnc509JTVIafsLzWk4vqWB+ImORjTTn6dNGyrp3F3Xlwb98YF81yuaAMsGpxdY2Vf/OESA2hvRk9TPL7f+gR7CO+p2GPKoc2ei6RF3U05EBB1z1CNAqAmr4oQ69inne6odq39/YQ+79VaipSbWfxZZQunTOPYU7eVcrQtIv/JKzh6nLFOdOkTHjhFd3yuTXsVT1BO/Ub9+LO1NnizGWa2iNt6mTaxG1RLZsmXiXli8WJ8D02Jhwi2b6HnTJr1NEGCb5IQJgevfETHZLllC1K5d4MsRHs45OC/o/paoMBw/flwSXjCQhGc8srKyKEtbGugs2LyZVXAmeKkvfqWfMdDPYzA7vi4VvPSmeKLl5RG9+aZwEyxtu9GIbsVndCc+pIzQqvqnWqdOVFillrrthUmtUk6AziviUkt7+dYoInB4Rr6ZifDrmLE0GPPVMc3xFzVtSjQj6g7Kioqi/bbGys8kgGgYRIDcHa02qafXpvJ69so/1I3frniSTPDSr+hLr07IUwkyJoZVm4p0FBVFtG1dIX3c6E3KQAytQDfq19dHeXl6dWdUFAeLe70sGWoS4NA114giGidPEg0frl+CpCQOTtdi+3b/2sNOJ+cB1Rbk0CIzkwlYS7RlW716XJKoou5viQvH0aNHJeEFA0l4xiMzM5MyleJnRExSDz7I4sS993Jg1MSJHOn87rtEH31E2VO/ovGN51Bf/ErdsIJGNNpC79ge19XCI4CKLSGUMeQO4WZXUMDBWtWq6cYdQF26F1PpWTxPBVaNCtNsJl+79roqBoVw6KqnXwqyEzY9VrEes9RW57YxqhcRWIptAVFJ4Rr8yJWVYm6hzJgY2mFpSYCQYt41sz7ShVDq3pk9Lu12otLi6NSxg49Wo3MpwUZS9dB0Aoi6tszRpQ776CNRjsdu8dD2Rz6jlBARHvJwxzWUkqJPmVqnDtGuXVyZQGvfczg4dtDn47I/776rt+XFxPD3eb3i9vn7b33lc4D9jh55pPzKB5s2caozbd1hgFWeLVuK7d69y5cKg76/JSocR44ckYQXDCThGY+8vDzKK6O+LDmRQr6yeqhy2ne4gSa/XkI5OUTTJ7toQpVPaDPa+I1LbdCZSr6YyckUi4qIPvjAL03+EdSkJ/EaTcMYfRaW0FAqadBEN7YAgb03L0XTxun9FCqe9lfEHVY/P4R3uGpA+AjKCw+njbiCAC7+ChBttrOo9we6qySnDY8c10JUfP2szgsEsCpy7FgxZvRoxcvSR4PwE2VU0auLV1UaSnv2iMrqAEtnKSmsotQK4I0bC6lt7Vqi1q31P/u22/QZVfbsYbOvVttstxPdf79/NAsRv/t8/rne81NpLVty7GBeHtsIAc4LWrbWXll4vf4ho4Hub4mKxcmTJyXhBQNJeMYjNTWVUsvkglq2jKhmDR89YJ56RmLZ4WxPjWoXUZ8+4lifj2j5Hz6a0HMNzTTdqKuCQADlhlWirAcnsiteSQl7J2gqJxBAJ1CVXsZ4mosh+u+MiaGiaFEN3IezlxSqqFZWssw3sSpzVakURgCNqTSXUsFlCt7FgwQQzYofTqnx8bQGnQhgknGgkIpNnJ/rDcs49bRK9e/EeC9tATNOli2ewpFLANHQocKPp1kzls6SsJpWoqvffD0w08avdutIbeRIjpt74gn98LvuYs/HjAwOpdCSWLNm7P2p4MABVgZo4+6sVqJ77mG7YVkcOMDfpy3BqJDjTTdxPT7FEcXnI+rShW+PK65gB59GjVgirVaNpd/oaFaVWq08Tqnnd6b7W6JicfDgQUl4wUASnvEoz207O5vjw5vib9qOFn4PUKVlOCpTwZ0PsL+5VrdFnFXj7SeT6fWIl+g49GpMj8lCp7teT95ly5n4vvpKX5wNXH7nfxhLa6CPTPbFx1OJpmCsNjbtUtnzlBeDEljVVGQzwh6k9WhPBNBPGEQA0XznNeRyOmkFuhHAzh5JEEHrdyT8pJKGcvpHa4oSCC9EvkUAR3MoAnJICNHjg3b7vyBo2v6r7tSFND7zDGeK0zqGREVxDk6fj6UvbQC408nB74oEdeQIS5TaLHMWC6smDx/W30seD+cm79/f39+oVi1OcF1eqFxy8plzIijt7rsD+lnJsIRLABmWECQk4RmPswXmzp5NVDW2kN7BQ2d/6tSowTa/jRt1/uJuN9Hc70ro+eY/0DL4P73SKjWjvDc/YJb9/nu94QacoPkr3OjnGeqJ1ntvGi3tlUeueyysp9yGVvQtOLZuB5oRQDQvcTClJCbSb+gpCA0iLVm9yFR1KQEiu9mtZqBJsValEBQQoM9OMmIEUThyaSRm0p9RA/zmU2INoao4QQA7o3z+Ob9faJNCd+7MJPb33+zlqT3FkCFER4/ytTx+nJ1dtE4tZjO/HO3fX/beYjIrW+DVZGLy+/nnwDk1FbhcXBlh6NDyL0OlSv4FaM/l/pa4+JCB50FCEp7xCOYN+NQpThTcDwspGaxS/B1X0UjMpHm4lopg938S1a3LlU23b9eR3+7dRK/etINm2MfoM6oA5LJFUvKIB9mDYv58v+SKWYiinzGAUqCv7lASIp7cl9KJRVmH/ainEvDk0heFfDgJ8NESZ29yOZ30K/qqp5iN64gA2osGap8S2/ZIzGfq99xn/oAAvSCclCSkpvrVC2ldbD+/+b0CVpPGxHC1gVtu0ZPPxIn8rvHUU3rJsnZtQSanThE98IC+MoLJxGrR3bvFveLzsVrxppv0YwFWYz7xROCAdAW5uUTffstlgs4Whzd0qH9lhvO5vyUuLqSEFyQk4RmPYN+AfT7OfF87NJkWYAD9jabUoQN77UUhi0bhc1qIfgFTX1GTJhxhrHky5ucTfT4lm16vNoX2oKHfMSeaXU1F383nJ25Skm5fLsJpJbroguB9ZrNa0udSEZ/StE4sUyHStSUimRYn9qGUxET6EdeUdvvoJNit8guMUokEILKjiA6XZpw5YqlDNhST1Sq8GStVEmnE4sMLaW20ILvTIXxcBmIoCllUvz5L69rYuWrVuALBjz9yzkyl32bjdxWXi6W0Rx/1z/B2/fVEO3aI+yMvjx1NtKnJlNaxI+fvLCgIfG9lZvL+wYP1QexKi47Wq14jIlhKPVvQ+bnc3xIXD1LCCxKS8IzHub4B79/P1bnvwAz6YJqPioo47uv22/kNPg5pdBc+pN/QM7CKsVUrDnE4eJCI+KG1drWXXuu1hH4yDdaRBQGUEVmL0h5/jSOpu3fX7XMhhLahhS6xtM9ibAHZ8gi2uDRkYY5JlETqiLW0yplELqeTZuM6Aohq4oi6/34rS3AKiT1in6ruuxlfqiQHsBpRsbE5zYW0KlKQ3bqYftSxXhoVwkGP4i3q2pXfN7TS27XXcoWDsoXte/RgATstjSW+slKWcpyCXbtY8iub/iskhO15mzYFvo9SUznIvW9f/byUlpDAzjOLFrFj75tvivkdOVJx97fEheNCJDwTEREuE+Tm5iIqKgo5OTmIjIy81NO5LJCeng4AiI+PR3Y2kJ0N5OQAubncAn3OzgY2bwbi44GVK8W53G5gxQpg9mxg3jzAlJqM6zEbIzELXbHa/8vbtwdGjgSGDweqV0daGjDn7SOgD6bjhtwZiEeGOrTE7EByj/9D1eGdYZ3zA7B0qbqvGHacRDXUxWG1z2e2wOzzAgAIgOkirtmZ4IMJZhCyEI0YZONvNENz7AQA/B9m4r7499EEe/Fbei/cZJ6F4b5v8S1uBAC0xHbsQEsAQCgKcBD1UAXJ2GVqihb0F8IjLcjN5e+pXBlITgYcKMLSsKHo5loEAFgb1Q83WOfhZEYI3sHDWD/kNaTnh+C33/g4hwN44w3A5QJeegkoLOT+xERg8hseDGqwF0ve2IbTC7dirnsQVqAHAGDAAOCFF4B27fg6//gjMG0a8Mcf+t/foAFw773AbbcBMTH6fadO8X0xZw7fJz6ffn+VKsB11wHDhgHdugFWK/cTAR078lzbtAGio4HISG5RUYE/x8Twtvb+ljAGhw8fRt26dc/vOX7R6fcfDCnhGY/c3FzKLc0HtW2bv8NCea1RozO/aXs8XHPtwQeJqlcnqo5j9CjeUr0W/VrXrhzlfPo0eTxEv84rpLdbfU4b4J9f6kT1jpT7+HPs+aDpL4FVtTEq7VKFLSjf64GZPKWfx+Nl2hjelnLDw+lL3EwmE6n5NnMQQWZ41FM8aXpdPddQzNGdXsnU5kAh/REqJLs/I/pRhK1QHXfrTW41pg8gatqU6NNP+W8ICqg91tM9mE4rm95DRa066AL8n8KrBBD16UO0Zg1f0xMnOC5OCWxXmtnMji1Llvg56tKRI5w9pUuXwNXMa9Vilenq1f7HarF/P9sUg1n+q69mybPs/S1hDE6cOHHez3FJeBIVirKZKJQyLzVqBH6YWOCmazGPprScQZtveYdyHn+R80Xdey97QwwZQtSrFxtumjYlqlOHvH+upnXriB5/nGOo6uIAjcMrtA0t/b7AZzYT9ezJKTzS0+nQIaL/3bKeZtlv8XOOyXYk0OkBd5Cvr95RwwOzPun0JW7JpU42H2M0bY5uTZnR0fQJbieAaCPYMWcJehPApBCJbEoHB6pxgLpPdQBRbGkOFNJvdvG7Vzj7kQNMdjabf/7KUaOIXu/+C32Jm2kHmgW2tZa2hzGZevTgeDufj+j337l6QplC91SpEoc3lI2327ePvTPLy4XZoAHRuHF+zrzl4uhR9irt0+fMS12vHtsjteeUmVaMh8y0EiQk4RmP8nINulxs9wlUjq4B9tIv6H/mp4/S3n9fd16fjzONTZjAUmJj7KLn8BztQmO/Y31WK0txn39OhcnZ9P3UFJpW8xU6Cj0be2Cm4416kbvbVTpbmhcmKgzkQWpQU6Q8Zb6/oSftiG5GWdHRNB13kxP5KvG8gInqoc/jWfUcffErlan3Sg4U0hKLILvfHYLsYmJEwDrADh933839oXDRB7jnjHN+u+5UWraMKytMmeIXGkkAawFmzWLbmnJN//6bKzS09H+HIYAD1p99lovJnonkfD6Wzj78kOjmm/XONOW1sDAm2KKi4O9viYqDzKUZJCThGY+zqXyOHvVPFhwTQxQZwemrDqBu+Q98s4Wyeg4l7ztTWF9aRmele1C28FFLbKNJeJoOoo7/uWx28l17LdHMmbRteRa933suLTP38huXGlmPXM07kNekZwmdY4vBxKdkWzmE2rQ3oj7lRkTQe7ifrsRyHbEB7PSTCw6z4OB0n3oqk4nJbpFJkN1SqyC7ypX1TiatW5f1mvTRa11/orzwSn5z9MJEfz/0EW3Zws4iZZ1VwsOJ7rtPeGYqLy7jx+sJVtvatuViGXv2lH//ud3s2PLOOxxmkJBQ/lJGR/tVnKJbbgmcuizY+1vi4kOqNIOEJDzjkZaWRmnlpa/XYPly8fBs25ZtdFu3Ek19q5BmNntJzS5yplYQGkPp3a4l9xuTuexCmajjffuIXnuNqN0VPmqHDfQWHqVjmvI7SvM4Qsl3ww2U/+Ucmvn4Zvo6eqxKEkpzmcMpu1pT8pj1LoCXIlxB8Tx1w0J74upTWlwcvY1H6Cm8qo6JRiYBRG/gcbWvK1aqpzGbmex+hSC7xWZBdtqUYWYz56jU2sxuqfY7HarUKeD8fGYzrbrr87LRHwSwZDZtGsfHeb2cV1NRTQf6uZ06sUeltkCsFoWFrCqdNIk9NCPOoHmuUoWD6qdOZcnQ6yVqWBrB0r49z+Vi3d8SFw+HDh2ShBcMJOEZj2Dctj0eThe1ZAkHFDud/uVgfEeOUm4/fZr8leiqBmEHJEBHFKV2GkRFk94k2rBBlx1YcXbo2tlLXfEnvYf76TT8JRNPaDh5b7qZ/pr4HX3S8l3aiSZ+Y7IjqvsR36Vqp52J5HI66TU8SfPBMQE70YQf8DippihbiH7qYYpkt1BDdr+aBNlpSSM2Vp+nsqttHW2L10vCqYinLc4uvH4mC90d/o1umlYrB5SvXMmXRHE+KlPkQiXX7t2J3nuPs7CURW4uhxaMH0/UrVvgODul1a/P4S2ffsrB6WVVnytXsvryttu4lNHRo2fO1BLs/S1xcSEDz4OEJDzjoQTm5uVxUpR584jeeovVV3378kNIm0YK4PIv5foB/P47O6sAlD3uVZo5k2jczcfpyWpf04e4i/ai/GJnhfYISr6iP7mefY1LZJcmbjx5kt/ye/XwUC/T7/Qh7lKdOrStJDya8obfTot7v04L7df6xfS5LBHkvsTEdzSxOqUkJtJLGK+qOj/GaAKI3tcEqbeFqIlXluwWQpCd1r6n9chsge20LOIa3XdnIYreTXiJnns0l2Y0eYtKYKVh+EEdUr06VxE/doxfbu65R39OpVks7EAyfbp/yZ/UVE4H9vDDnCinrP1RS+ItW3K1h+++O7NaUnvuQYP057HbWerr35/PNXkyJ+nZsUMJnJeB50ZDBp4HCUl4xsPlclFmposmT/Z3Nw/UzGbOcrF7t38pFhUlJWyUuflmXXd6Oj+MXrjnJI2v+y1NN90T0FlFJUBrGJ1qeTVlPzWJ/daLi9WA5YFXl9BA80L6DLdSNiL9ji2KSqBDXW+mxZVuopRSYlGaBxZ9+SEDW7YznFxOJ72LB9W+OzCD6uAglZQGq/+AYWclu7LVCZTg7QbYS7NtI3XhGPlw0gfR4+jO6zJU1/578AENxnwCmLx++IE9HJUEAmWnbrez5+dnn+lr0h09SvT11+wY08RfuNbNsVMnTi32889neGEqB8XFRDt3sjNLMEtdowa/JGVnSwnPaMjA8yAhA8+NR2pqKgAgMTERRUXA558Dr70GHD169mOtVqB+faBxY6BJE26NG3OLiACQnw+Eh5d7fH4+sHYtsOXXFBQsXokqe5ejq3eFGqhdFsWWUKQ37AxH3x6IG9od2Q074OclDvz0fRGweDGGeWZhMH5CGAr03xNZFUcjW8B08jia0i7dPi8ssMB79h97gSBw8HtqYiIAYHnqlRiO2QCAJtiFcXgNt+JL+GBCc/yN3WgKB4owD0PRHxxU/iv6YSjmocQUAuWpYLNxIHgNHMNzeBG34nNYS39PMez4JuwezG86Hou3V0ZJiZhPfJQbI2+xoVEjvgYLFnBSAQs8aIS9yEQsCkNi0WuAA8OGAYMG8TXdu5eTDfz5J7fy7pPQUCApCbjySg4i79gRCAs7+zrl5AB79nDbvVv8PXgQ8AZxmerXB55+Grj5ZsBu19/fEsbg4MGDqF+//nk9xyXhSVQoCgqYHJxOp9rndgMzZwKvvsoPuPNBtWqCALV/K1cGTOWkPSkuBjZtAjb9mob8hSsRt3MFkkpWoBX+Cji+xByClHpJsPXqjvCB3fFrVif8OM8H/PILhpbMwkD8ghAU647JdlZBmjcONYv3wgG32q9kSKloFJSu87aCluiMdchCNLriT/yFVrDAhy9xC27Fl+WSXTFCdOdLRArG4xWMwXQ4wIzmgQWzHLfh/bhnse5UTd341q2BDh2A1FRgyRKgQP9ugPBw4PuqD6H/vvcAAN7QMLgcscigWJwoiEWKOxaZiEUG4pAJ/rwSVyI9ugG6dhUE17YtE04gEHHWFS2hKX9Pnz6/dW3eHJgwAbjhBsBi0ax3gPtbomKRnJyMKlWqSMI7GyThGY+0tDQAQEJCgt8+rxeYOxeYNAnYvp37RowAxo/nh5P2QbV3LxPW2RAVSehcLwXdE3ahbcgu1HfvQpw5C85vP4U1ItTv+//6C9i4KAPZP/+JqG0r0L5wBVpjW0BycpvtOF2rE3xdu+NIre74flczuBf+hsFF36EvFsOuITgAyLbGAR4PopGj9imSWEUhrTTFVXG6HdVxCgvRHwVw4nrMgRtWNMJenELVs5JdNLLwBN7EQ5iik2h/sI7ES5YXsKO4odrncHAWNwDYsAE6SQ/gVF3XXgtccw2n49q41oOB7/RGy6wVZ/wtGaHVsOWGV1HpkZvQvKUZZrN+v9vNkllZUtuzB8jLO/tahYYCjRr5vzg9/TTwyy88pn17JrprroHf9wNnvr8lKgaHDh1CvXr1JOGdDZLwjEd+fj4AIPwMqkciYOFCzqW4Zw+wbRtQt65+jNfL6i31obabkLH9BMx7dqFG/i40xS40wW40xS7EIkt37GD8iEW2wWjQwP/h1rixUIURAfv3A+t+zULGj6sQvnkF2uQuRxtshQVlEjMCcJtsOFmtA07W645N1BbHN6Xg6oL56IllqtpPXQeEIRyuc1/Ac0R+6Y9xugpgBmEaxuA+TAcAfIAxeATvnJHswpCPhzAFT+BNHVEvMF2DCfQS/kIrtS8+HoiNDawOTEgABg7k3Jf5uT4cX7oHYX+tRTvPWnTGGjTF7nJ/g88ZBtNTT8H0+GOA04m8vMBqyAMHAI/n7GuSkOCvCWjcGKhZ05/Edu0CrriCiW7iRKB37/I1BkBw97fExcWpU6dQrVo1SXhngyQ845GVxeQTUybTr8/HD65164D16/nv33+zqnL5cn/C0yEzk8XAGTPOanhJRxwm41EcQl0cRh0cQl2kIx5aOatGDb2NUPmbmAicOAGsW5yDlLmr4dywHM0yVuAKbPYjNADwmKw4FNMOu8PbIS2V0KhoO7pgtZ+06IU5IIFeDGSVrnNM6bqvR3t0xEYUIgTN8Dfex/0Byc6BIozBdIzHK0hEmnq+39ETEzAJ69EJAD/8Y2P5EpR9clSuzMmX4+25CNu5AQkH1yKJ1qAT1iEG2WedO5lMON3/Dizp+hK2nK6iktuJE2f/3SYTULt2YDV3XNzZj1ewcyfQsyeQkQG0bAl06sT2wY4dgYYN/QmyvPtbouJw9OhR1K5dWxLe2SAJz3jk5LCUUFwchfXrBblt3Ag1M78W8+ax+utMb9Uqjh8H3nsP+OijwCcrB/kIU8nvMOr4fS4AS0kxMf4Pz8REIHl/HpLnroF9zXI0Sl6BdtgIG/xFDQ8s2B/SHGmeWCR4TqEJztNgeQ7IiYoCAETl5OiI9R08hMbY60d2XlhwGz7Hs3gRNSCYZS06YQIm4Q/0BMAORIGkqfg4Qqf4A2iQvhYNM9YgCWvRHH+XS+jFkfEoaJWE07WT0ODbF2HzFAEAVlh64kHvZJ0EGQgOR2A1ZMOGrKK8UBABX38NjBrlvy86mu2THTsyEXboANhsfH9Hla67RMXj+PHjqFmzpiS8s0ESnvHIzs7F998DL7wQiVOngjvG4WB1WXktIaFMnz0Xjm8+Bd5919+tLyKC3TXP4TZPQWK5hHgcNWB1WFX1aL16gN3tQtTONYjbuQL1T6xAe1rvZ88DAC9MSDZVgZU8qIRU3b6LZdvLjYgAAETm5alq1DyEYz06oDeWAWCyG4bZGIr5eAHPoT4OqsdvR0s8g5exAIMCzigUBegeuhEdfWvRtpgJLgHpAefiM5mRktAcR6p2xiZrEn7NTsLvR+ujxG1CI+zBHjTBHjTC43gLv2Cg7vtiYwNLa7Vq6Z1GzoaiIiA9Xd/S0vz7tK2sDbI81KwJvPBCLoYOBaKi5PPEKJw4cQI1atSQhHc2SMIzHhkZXHMuKioOixYBn3zCLurB2F7OBeHhQKU4D4Zb5+LW9LfRKGcDAGBzx/uw9ZbJqEHHULX4MOJzDyEq8zBCkg/DfPgQcPgw6+eChAcWHENNPyI8hLo4gjoIrZmAWomFaFW4Dk1SV6BZxgp08K3z8+YEAB+AYoQgFEUXaxmQERsLAIjT/Kb9qIcGpaT2K/rhU9yOZ/ESWuBvdcw+NMBEvIQfcAMIit6OUAtHkYS16GJag060Fq2wPaA0CwB5lmjsCE/CGkrCotwkbEAH5CHw/9kwzEZlJGNRzXvQoKnNj9ji4/2lfI+HL1Uw5KX0uy6y2dRmA4YMAUaPZvtedjbf33HnojeVuCAcOXIEderUMY7wCgsLkZmZiWrVqun6d+7ciWbNmp3r6QyDJDzjEchtOyUF+PJLNsHt2yfGhoQAr7/OD7VAD7K0NPbMOzsInbEGj2IyOmMNauA4vLDqRphMrLKMjwdqReegmfMw6lsOo7bvEBNj/mFEZx5CWOoRmEuCJyRFXaolxBOohnh7HhqaD6JtyVp08q25qCSnhRKW4Cxd9xLYVGlzA9rBBEJ7bFbHH0MNPI/n8SVGwQoP2mILksCOJUlYi6oo349/l6kp1lAS1iIJa9AZe9FIQ5YCdjurHMs6C1WqxEVXAxFXZqoH2aklOJXtVPdlZQWYxHnCbg+gKSht0dHAE0/oX8qaNWOSu/lmPk6BDEswHoaGJcyePRuPPPIIYmNjQUT4+OOP0bFjRwBA27ZtsWXLlnOagJGQhGc8zhSYSwSsXs1S3/ffc8zW/PlswwsEItZOnkklVXZfVPpBZCIGWYg9r/mb4EMlpKAuDqG++TCaOQ+jofUQatNhVHMfRlzB8XOKr0tFAg6jDvIQASvcSEQa6uAQQgNIgOcDJfA8MVWvMs1ADOI03qvJqISpGIsDqI8O2IgkrEVbbFFj7coiFxFYj44qua1HR2RD76gRGckqxypVWCUZHs7Eokhm2muTkXE2KZ+wHD1QAjsWoy8Woy/+RnMEUrOazeyYclbVt6aFh5dvJ/70Uya38HDg//6PP3foEHi8DDw3HoYGnrdu3RpLly5FQkICNm3ahFtvvRUTJkzAjTfeiDZt2mDr1q3nNIFzxbRp0/Dmm2/i9OnTaNasGd59911069YtqGMl4RmPs70BE3GM3Q8/AF99xW/9f/558b7f6wWys89uu8lNKcTJzFD+HLz/C2woQU0cQx0cRl0cUmU75XM8MoKfK8wohgN2lAT0Ag0GZSW8snAhFAfQADHIQk0cL/c8+9BAJbe1SMJONIMPbDxzOlkat1iYtFyu4O1ewSAqikmpn+13TN3TW+3Pi6yK0y36IiepL3xX9UZ0vTgkJLBEFihG7nyRmMgvVj17Ag89BPTpU/5YKeEZD0MlvGbNmmHnTpGaKSMjA9dddx169eqF+fPnV6iE99133+GWW27BtGnT0KVLF3z44YeYMWMGdu3ahZo1a571eEl4xiPQG7DbzaT2889szztwgPtDQoBDh1hCMAQZGTyJuXOZaT/+GAA/vDMyzk6Syr60tPKD4iOQ60eC2s8XW7VZnoR3JqcYF5zYiPZYiyRsRHtsRRvkIAo2uHXNjpKg+rT9Tqsb0WFuRDm5RYaUIDzEjXC7G2F2N5w2N5zWEoRa3XBY3HCY3DB73XyTlJQAK1YEDj0xmThYrl8/oG9fFsGsVv9x54GVK4Hu3cW23c4hCqNGAXfdxfepAinhGQ9DJbyrrroKU6ZMQcuWLdW+kpIS3Hrrrfjhhx/gudjeCBp07NgRbdu2xQcffKD2NWnSBEOGDMGrr7561uMl4RkP5Q24sNCJRYuYXxYt4pyGZREbyy7fFYmY4mQkJc9Dl5S5aJn5ByzED9MxXf/GsYjztD8TgTxe+Ird8BXzw9pXVAK43aAS0cwe7oPbDXjcsKEEiUhFdZxAVZxGZZxGZaQgEamIRxpikH3O6cjOJuEB7Hjjhg2+Ugq0wAsbPBUWG1jR2GVpjpkho/Fp6Fh4TLaLcs60tMD9JhN7Zw4eDDz2GJCQICU8o2GIhJeXl4eIiAicOHECVqsVlStX9huzevVqdOnS5ZwmECxKSkrgdDrxww8/YOjQoWr/Qw89hG3btmHFCv80RcXFxSjWvHrn5uaiRo0aOH36NMxmM8LDw5Gfn4+wsDAUFxfDUurv7PV64XA44HK51DHav4WFhbDZbPD5fCAi2Gw2FBYWIiwszG9sQUEBHA4HPB4PTCYTLBYLiouL4XQ6/ca6XC6EhobC7XbDbDbDZDLB7XYjNDTUb6x23larFUSkzrugoCDgXAoLC2G32+H1eitk3iUlJbBYLOq8Q0JCsGfPMcya5cTXX4ciNzcc4eH5yM8PQ0hIETweG0wmgtnsRUmJA05nAVyusNIx4erf0NBClJTYYTZ7YTIRPB4bQkKKUFDg9BvrdBagqCgEVqsbRCb4fBbUth9C78LfcHX4EnTNX4WC8HCE5+fDFRYGZ0EBsuzRWOvrBBt5YLZ6EVJUBAo3Izw/D95wC8Lz8+EJtyIiPw8UYkKIpwhWkxdmsw/OkgJ4nVaEuVzILz2v8rcgNBSOkhJ4LRYQAKvHg+KQEDgLCvzGupxOhBYVwW21wkQEi8+HErsdoYWF/mNL511st8Pi9cIEwGO1wlFUhGM1asBZUIDQ4mLdMYUhIbC53SCzGT6zGbaSEhSGhiIswFzOa942G0w+H8w+H9zlzDsrLAq2Ag9cDifIY4YbVhRbHTAVE/KcEbC4vHCFh8Oc74UrPAymfELrkG0Id7v85r2voAEWhA/CgvxrkBpeqfQ+KUBxsQNWK7/EeDwWOBzFKCwMdJ+4UFgYCrvdDZ/PDJ/PBJvNjaKiUL+xYWH5KCgIg8NRDI+HnxFWqxfFxQ706nUczz8fimrVQuUz4jyfEYGes2FhYSgqKoLNZvObd0pKClq0aHFehBe0DqBbt25YtGgRqlevXu6YiiI7AEhPT4fX60WlSpV0/ZUqVUJycnLAY1599VW88MILFTYnibMjLi4UTz7pxKhRhNWrgd9/5xYIERGsOrLbWZul/LVaWaul2Gl8Pu5zu/3H2mxsV7KjBH1TvsKVqXNRw7MPoShEPsID+BACThTgavwGEwhuWBGCIrgQjnDkI1/zNwz5KEIIbPCAYIIXZthRgsLg/43OCx6YUAIL3LDAc5ZoPWdBAZwFBaBzCVYDUAIr0hGHE6iKZFRGJmKQhkSkIQHJqIRCOFEIJ0wgFJmcMJt9KDCHwWzxodAaBthN8JANbrIDdqDAHAG7swR5iIItrBh5iEJYuAsFljDY7cXwenl+FosXJXYHnE4XXGYmF5eJ/9amQ/jeOxAAh3BsNrfDb47+WBHWC4ct9dWx4WH5MJk48NzhEHF6Xi/fF1Yrp48zmcRfp5PvFZuN7yefT2yHhbENrzwkJAA9egD33AMkJobC6XTiMoruuuS4EGk6aAnvzjvvxNKlS7F48WI0btxY7d+6dSsmTJiAhQsXnvckgoGSP23NmjVISkpS+ydNmoSvvvoKe/bs8TumPAlPqjSNQ2ZpPFhsrPCSLChg0lNseEoGe6cTOHJE7/Z9QSgoYIPM4sXcdpeTv9Fu5wSKpU88stnggQ3FZEeRz4Yijw0FHhsK3DYUlNiQX2JHXpENeUU25BbakFPAf4th97NmlQToO1O/HcVohe1oh81oj43ogA26nJZaBLLLZZauc+w5xBYGgzTElxuMfww14YG/KlFJQxaM16SyLyJC4w15882sW7zuOg5+K/OyW1FYv54zqSiwWDiMYvhw4MEH2UlGQaD7W6JicSFxeEG/ms6YMQMvvPACunbtivnz5yMxMRHPPPMM5syZg8GDB5/zpM8V8fHxsFgsftJcamqqn9SnwOFwwOFwVPjcJMqHNYAjgdPJ2eevuYbfrLduZb+RmTP5ofLHHxfpy51OoF8/FHbvh7RHgJwdx2BeuhgRaxaj0t+/wVFYSiQlJbi7ZCrW5rVVHVIupilacc8H2LmloEBJ/EJogP1qzFtnrEEz7CzXbpdcKnHVxWGEoSCgrGe9wIm7YYUXFr9A+QSkIwHp6ICNfsd4YcZx1PAnRKqLwxl1sDejEvbuDS6PjM0mSLBW9PsIrRyFhL+A+FPlk+XFSCmmxeDBLCl27sxS3A03lO8FGuj+lqhYXMian9ORzz33HOx2O/r06QOv14u+ffti48aNaNu27XlPIFjY7XZcccUVWLp0qc6Gt3TpUlxbXuCWxCXH2RQI27dz3NPMmRw+cDbfI7dbeFAGmzJK+G/UBHAXgLtggQcdsb40wmsxBm9+Fh9jwVl/T2SkXiqJi2OvPY+Hvyc7mwPrT5wQjg+KeswJFzpgAzhUm1t5YQtemLEdrbAWSViPDqiFY7gXH6CFpnhtJmL8KkNcqGKNZVtBmjmIwBHUQRaiYQIQhwzUKSVcBRb4UBtHURtHcRWW+52z2BKK5NA6OG6pgwNUF3uL62B3sSDHfESoY91ulvhPnwZ24Oz5KeORhohQL3yJlYOOw4uLO7ND5/jxwMMPc+motWuBpk2BFi0Cj5WqTONxIWsetErz9OnTePXVVzFjxgw0adIEe/bswUcffYSbbrrpvL/8XKGEJUyfPh1JSUn46KOP8PHHH2Pnzp2oVavWWY+XXprGI5DKJyuLCe6TT1i6UxASwrmgs7LKJ6/s7Is3N4eDH4oJCUCdyAyEVI5GXKIl4EMzMpK/u2z9tT17yrP3EGrjiCq9dTGtQQv6q9z4ugzEqjS4Bp2xEe1RiFDchG/wPJ5HXRxWx25FK3hgVTOmuGFVSSqzNGt/7MVMS1J2nuau+Mt+BQ64a6HYa0VtHNGFW9TA8XOKIyyJjENeQl1kRtVBirMujlv5bHtK6mK3qyZOp9uQlhY41s8JF46hJn7EtZiMR7ETzYP6TiXLTqAWFQXcf79eyu/QgQPQR47ke0GBVGkaD0NSi4WGhqJx48Z4+eWXMXDgQCxevBjDhw/H+PHj8dRTT53XxM8H06ZNwxtvvIHTp0+jefPmeOedd3DllVcGdawkPOPhKk1mGBoahhUrmOTmzOGkvhcTFgu/uZf3Vh+o3+n0z56Rm6uvvbZ7N7B/twdXHfgYB3x1sBj9An5/CApxBTajt3MtrrStRauCNYhzpwQc64MJO9EM60xJWE0c2L0PDSEscoTrMBcvYaKubtwuNMFLeAaj8CX6YzEA4CDqoJ6GDF2l9fDCLmISySI4AuYCBYBsRGGdrRt2xvfAroTu+MvcGsePEZyZx8uNP9SWHzorzGagenVQ3brwVK+D/IQ6yIqpi9SwOjhhq4Pj7sro+clNaLXrWwDA+pi+mBHxKH4s6IOMTBN8FznSwulktfvo0UCXLkBBAa9zmFJUUaLCcfr0aVStWrViCW/WrFkYOXKkrm/Lli0YNGgQhgwZgmnTpp3TF18KSMIzHikpaZg3D3jrrQQcPHj28QrO9AYeiLyiooLPtkHEKrOyVbJ374ZfRYd++BVv4XE0wy7UwhEcQy2YTEBSjRO4Jo4TKtdNWYOqKVth9QVO9JmDSKxDJ2yydcYmWxKWFXREbkB1HaEfFuFlPIMrIBI4HEZtPIcXMBvDMAfXqyV+fsdVSMI6OFEIF5wIQwHSSj1+EsoLJLsA+AAkowpsJg8SKPD5cxGB9dauOFqnBzKad0du/bbIL7Zh/35e36NHASfla7KN+hOiVl16VoSGcivrpNOiBXwPP4rs/v+H9DxH0NUSzkWD0KgR8MQTabjmGiAxUVY8NwqXtOL5kSNHMGDAAOzatetCTmMIJOEZj4KCAhABaWlOtdjr+vXAli2Bs5N8/z075NkuQvywx+OvglT+ni19WHPswGTz4+jjWwIAKHJEYveIF1Dz5Fo4t69BaHr5VUn3oBHWIgm7ozvjQEIS1uY0RXKqPxvbbCIZdjesxCRMQDesUvefQhW8hIn4BKNhhs+vUvkh1MFYfKA7ZzCB5xcDHpixE83hssegGk6hVsn+gOPyEYa15q44Wrs7TD26o8o17RBTyY6jR4UEvWcPJxHn+4GQgDQdEWoJsSaOnVvatcqVWT85ZkxQlWDdbuCbb4Dbb/ffFxLCzrzaorBxcQWlYQ4y8NwoGJpaLBCysrL+FRV/JeEZj/JSL5WUsMOKtijsgQNc6fz337l6dbDIz9erIZW/Bw4EV11Bqb3WpAlwRfUUDFj3LGosmQFTEPqwfIRhAzpgLZJwsmZn5DfvhAzEYccOrk8b6LuyskR5viuwCZPwDPqWqigBtpO9iqcxDfehEE44UORHdg/hXexASzhQgnXoiE5YD6D81GIXCx5Y/AinGHYsR3ecCm+MqjEFaJK9FjXzAr8Au+DEWlNnHKzWHd5u3VHr+g7ofJUDkZEckhJI6taaIy3woAaO64jwfkxFFM7yBhMayqT33HOsDigHe/Zw7swTJ1iCU4q9duzIjitlX8RkajHjYWhqsX8zJOEZj2CS6xIBy5fzs2jLFnZkadDAf0xKiv/DcPdufjgFg9q1/QuKNm5cGvdXWAi8+y58k16B2VV+1PFB1MVaJGGdqTNymiahUu8WiEmw4sgRYOFCf5Wo2cwknpsLaDmoKXbiZdOzGEpz1b5cROBtPIZ38IhaRy4Q2Q3FPLyPsRiNT+GDCZ/gDtyFT+CBBSVODsOpaAnPBxOKEAInCnX9hQjBAgzCxth+aNgqFK0L16Lq/hWomrEj4HkKEYK1SMKexO5wd+6Oqtd1QpdeIahalfcT8boFktKPHQOuwxzMwfW6c7rgxG40wW40wS40RXpCU3gbNUVM2zpo2NSqu+5lbbh//cUpOq+8Enj+ebbTnQkyebTxuOQS3r8FkvCMx9nKAy1cCEyaxO7fAHvBvfhi4AdcMPYVpfZaWVJr1IgdDsp+//59hBNvzULLb8ch3nXsjOdeFzsAv45dgKTOJhQXA7/8wuWMyprLrFZ+aFoswKZNegedxvZDmOh7HiM9X6vxdgUIxf/wAN7Ak8iEULuVR3a1cBQ70QxWePENbkQ1nEQPrMAx1EBIYjEIQKUKkvACIQNxcFjcCPfqpaw8hOMnDMaS6BGoOvgKDK26AQm7V8CxbgUqp2wPGG9YBAfWoyP+iumOwvbdUXloEjr3dqJePX9yyk/Oh2fEjchAPPbZmmJLYVMsT22KlUdqosRzdoNubKz/C1CTJlwhYUFphEr37sCECVzsVZYH+mdASnhBQhKe8Qj0Buz1cqD5K68A27ad33mjo/0fVI0bA3XqiNRSZeH18hv8n39yApY//wTiU3eiN35DLDLVFocMJFgyUcWRiRjKREhRNkyl/yZzWr+Eu44+41eM1OHgh2LVqiyhbtqk39+uykmMzXoJNxV9ooYQlMCGj3A3JmECkqEvEVEe2RUjBN9iJEbiO3hgQXPswGa0QxgKsAad0Nr5F7wwIaLgIpf6DgAfTDrSykcYkkProIr3BMJKsnVjsxGFeRiKhREjEXt9T1zfLx9dfH8ic94KWFYtR+KpbQGTV5fAhg3ogM1h3ZF/RXckXNsZnXqHo3nz8p2UPB6uuhFIG3AupZ+06NCBiW/QIP33SgnPeEgJL0hIwjMeGRkcWB0XFwe3G/j2Ww4uD5AJLiBq1PCX1po04Zpl5RXwVFBczMSjENzq1eU/8CpVArp1Y1VWt25srykq4soOc773YvXCHNjzMxCDLGxCOxDMcDqBAQN4/KFDwMyvvEjLFGxrtQJ9WqdhyJ7XMCr/fdW13wszvjKNwvP0HI6its55xWQC7FQ+2bXEdmxHawDAR7gLH+IebEY7AMAcDEWPuJUogRVVMgKHRFQEAtn1tlmvgLNqNGqlboKjSJ8aLR1xmI3r8UvYCMRceyWuu8GCvp1yYN+wCmmzVwArliPh+Ba1koUWblixCe2w3tEdWa16IGZQF3TqE6FmhisXRUUgRwiSkwPbCU+eDO63tmjBgek33MAvVtr7W8IYXEgcHugyQk5ODgGgnJycSz2Vywa5ubmUlpZLH3xAVLs2ESsSy29mM9H06USbNhHl5Z3bd+XlES1ZQjRxIlH37kQhIeV/T506RLfeSjRjBtG+fUQ+H58jJ4fom2+IrruOKDTU/7iICKIbbyT64Qei2bOJBgwgMpmIBmM+3YivCSCqXp3o9uuy6X+xEykX4boTzLPfQI2xiwAii4XIatX/dgcKaSH6qZ0L0Y8cKFTH/IRBRAAVwU7VcYzG4n/q2PdxL+VGRFByROLZF7oCWonZTj6WhdV2CLXo9xq30smkYVTiCPM75hQq0xQ8QD1DVtOIG7z03Xel1z03l3wLf6W0O5+i5DqdyG2yBvxONyy0Hu1psvVxerrlAnrlqWz6/Xcil6vMzTFiBNHnnxN5veXcp0QbNhC9915wP7dBA6JPPiHKyMil3Nzcc/yvkLgQnDhx4ryf45LwJCoUWVlZlJmZRampRGvXMpm8+CLRbbcRdetGVLWq/8Pk1luJsrLOfu70dKL584kefZSofXsmkPIeUM2aEd17L9HMmUTHj+vPk5FB9NlnRIMGEdnt/sfGxBDdfjvRggV87Guv6cn7enxPJbDSu02m08RH82lypdcoAzG6k6yIGECtsUXtSkgQu02lHHE2suuIteq+yXiYAKJv8H9EAB1BTXoHD1FWVBQdiapxSQhPJT6LgwrN+reFAoTQ3IhbaMWg16lgwDDy2P3fRo6iBr2Bx6mzfSNdO9hHX31FlJ1depHy8ogWL6bsseMppWEXcpttAb/bAzNtQluabHqUHm/4Iz37QCb9/DNRwcPjeExSEtHmzeXeT9dfrz+lycQvMN278z3w8stE335LtH49j8/MzKKsYG5WiYuGo0ePSsILBpLwjEdmZiZlZmaecUxBAdHOnUQ//sjSU3g40dat/uOOH2fCGjOGCay8Z67FwgT42GNMiOnp/udKTmZJsk8fvZSltMREonvuYYmxuJjJ+pZb/AnxzrBvyGsyEwG0JqIPnUYl3YC/4rrTVfZVOvKMixNDwsMF2f1qKp/sAKLf0JMIoDyEUQJSCCA6BGbebzGCpuI+yoyOpr3R9S8p4SnNbQuhbGdlv/51pk70aZeP6dBzn5F34DXktfqT137Uo5cxntpat1P/fj6aMYMoLU1zAV0uot9+o/xHJ1Jq0yvJbQnwpgKQFybailb0B7qrfT6TifJvucfvxli+nCX4224j+vlnot27iQoLL/z+lri4OHLkiCS8YCAJz3jk5eVRXhC6yQ0biDp25GdSq1asYty7l+jjj4lGjWIVZHnP1pAQfgOfOJEJqryvO3GCVVbdu7P6sOx5qlUjevBBohUriDweovx8/v42bfzHtmtHtPKOz8hnMgWc1JHEdnR79SUE+NTuDh3031upkiC7xWZBdr+Wkp12bE/8pm68hAkEEFXGKbXvAUyhD3EX5YWH087wxoaTm68MyeiIzx5CGVWaUrFJT0rJSKRPqk6geS/9RcXTPyXv1X3Ja/YX03eiCT2L56mJeQ/16kU0bRrR6dNlLm5BAdEff1Dh089TesseVGI9gz67tGWZY+iLpGn02QwPHTjA91y9erz7yiuJtm27ePe3xMXDyZMnJeEFA0l4xiM1NZVSU1PL3X/6NL9Ra59FCQmCDAK1yEi2nb36KtGqVURFReV//6FDRG++SdSpU+Bz1alD9PjjLMEp5p09e4geeogoKsqfWG+7jcl59yMfBjxhdkQ1eqvrPB3RtWihJ83QUKIqVQTZLbUKsltkYrLT86iP1oLfBjIRTVHIIoBoKOaog9phA32K2yg1Pp7Wx7ejdMSq4y8V8ZVALzp7bA7KaZ5EmaFV9IQIC/1ku44+GL6MDq1LIZo+nXw9egR8mdiKVvQUXqU6OERduxK98w7R0aMBLnxREdHKlVTy3EuUeUWvcl9MCKAtaE1d8CdVqUIUGyt2mc2sTdBJlud4f0tcfBw8eFASXjCQhGc8XC4Xufw8CFhN+MYbrEI623M0MZFtK1OmsKrT4znzd+7ZQzRpElHbtoHP16gR0YQJRFu2CGcVt5tozhyiXr38x9erR/TWW6wBW7mS6N36/yt3sl6Y6CVMICtKKDKS6K67WI2pDGnQQGw7UEi/OwTZLbH4qzHNZqJr8KPa8TQmqfvewONEALkQSlaU0Fe4iVxOJ210tqUNaEcE0GHUYrJBAJHWoOaC3p7ntdqoqEdfOl6zs9/Yv9GU/td0Gv0yK5c8x04STZlCvs7+4wigdehAj+Btqobj1KED0euvEx04EOCGCNIT5UvcTJVxym9XdDSfwu0O/v6WqDicPn1aEl4wkIRnPFJSUiglJUXXt2ABP/jP9Py5+mpWJ+7dK0ipPPh8RH/9RfTss+Xb9lq2JHrhBaK//9af79Qp7q9WTT/ebCYaPJho0SKW/NasIerdm+hRvHXGie9HPfoe19PLVy6mW2/V7x4wgMjhEGS3winI7jebIDvFTmi3E5ngpW1oSQRWAYYhT5X+VoGJYAW6EUA0C8MpJTGR/ki8kr7DDUQAHUP1S0Z0vjLbWYjS77dYyTt0KB3vcTO5LHpv1hxE0KcRD9D0h3dTSgqxGPfmm+S74oqA37USXek+TKVEJFOrVuwYtXMnEf32G6sL6tRhUbtzZ765hg0juvVW8o29n9LuHEfrr51E79WfQsPwA5nhCfiTmjXj053t/paoWBw4cEASXjCQhGc8tG/Ae/YQ9e8f3POyefMAdhoNfD6ijRuJxo0rnzzbtWO15759/sf+8QfRDTf4O6wkJBCNH0905AiP3bBBzPlpTFIHesxWKm7cktY1vpUeMr1L3bCCIpFNDRsyUTdvLs4ZH090y01edTvCVkh/Rgiy+yNEkJ1WpQYQjcC36sZDpnfVfjuKqBDMnq/iKTKbieZiCLmcTlrp7EKv4UkigPIRILbCYLIrS3ynUFln5/OZzUTDh1PGfc9Qcqy//XGpqTe9feV8WrXCwy8r+/ezu2SLFn5jPTDTUvSiO/ERxSKdmjQheuYZ1gyc6cXp2LGzv4QpbehQVpWXvb8ljMGFSHgy8FyiQqFNvXT6NFdxyc0FcnL4r9K02zk5wI4dHAy+cqU4l8/HSaZnz+ZMLUeP+n9fly7AsGHAddcBZWsC5+QAX30FTJvGwcZadO0K3HcfH+dwcAaY554DfvqJ9/fFIgyxLkBCnzbo+VgbLDnZDA8/5UByMu8PCeGA5JgY4IknRDqxnj2BKpEuNJ7/KibiZVSNLcJs71Ak5XBQ+Z9h/dDHxUHlVapw2SIAiIgACvI82G1qiga0H8dQAw2xD8UIAQB0xDqsQxIA4FrMx0+4Fj9jEDokbsQWtMa81OvwIcYA4PJCdXAE2YhENHJBEJX3jIT2e30ADqMuauOImmGFTCaYhg1DSY+rcfqzX1F984+67CtHURPzK9+LmMdH47p7EhAeDmDXLuC774BZs7jkggZuWLEUfTALI/EjrkV83SgMG8b3R4cOInEBESeHdrm4unlUFBd5VVqg7bg4vj9lajHjcSGpxaSEJ1GhONc34KNHiXqy9z1Nm8Z2k2XLiMaODRyzZzYTXXUV0dSpRCdPBj7n9u0cYhBWJu45LIydErZvF2N37GBtl3ZcSAiHOKSksIq1rJ1vwAAO7Ro6VPRZrUTPPcfefk9jEmUghtrUz6V1MUKyWxXZj0JNLNklJop4PMVh5w7MUMfeZ/+YACKnk7uesE1W9ykhCotwNbmcTlrs7EN9sFjd/7Ppmksq7ZWV/LTB6YWw0za09HNwoSFDiBYsoFO3P025IfG6fYVw0De2UfTm8A20a1fphfP5WIwbNy5ghoMi2GkuhtAIfEtO5FONGuyYtHIl24TffM1DwzGLBgxgNXdF3d8SFw5pwwsSkvCMR1paGqWdyc2tFD4f0Vdf6T0ju3VjdWDZ56bVStSvH6sOy3OQKyriIPcuXfyPb9qUCVJ7G+zezck4tM58DgeHKZw6xV7vEyfq4/CqV2dHl+XL+bPSX7cuZ2KpX58oFumUjUgigI45G6qD1kb3o7iwQpV4E0uTozidHEdoRxGdMHMA+T7UJytKdL9BsdHtRz2173dcRWnx8TQv/lqqj33q4Km495ITnUJ2gT4TQBmIpj/RmYpRJiavf3+iP/6g/A++pNM1O/idcx060CtNvqA53xRSSYnmZlq/nuiRR/yNswDlw0mzMJyGYC45UEiVKrFp7ziq0Re4hWrF5NAPP1zc+1vi4uHQoUOS8IKBJDzjkZt79tRLgTJclG0OBzuRfPEF0ZnifI8cYRucQiBakhw+nMlJa8vZv58DyrUxbzYbZ2VRMrIsXMgkpuy3WFjiy8piKU577E038XjFFvcWHvV/SMf2o3rVmOzMZhF/CAg70sPmKWrnfTEzCdCnOjsOfpB/iZvVvpXoSrnh4TQ3fAjZUKzayV7DE+qBR1BTlXguNQESQD6T3nv0MGrSQvSjApSJo+vVi2j5cvKu20An+9xKxWaHbn8q4mlK2NM0+eGjdOKE5obwelmMGzvW/6YAO8d8iZtpABbQaiQRAXQAdakj1tLNN589408w97fExYVMLRYkJOEZj7Nloli4kKiyfzIOtV17LdGsWZzrsDx4vexNOXiwf0B5tWrssVdWTXXoENEdd+jTkVmtHEagOKwcP+6v3uzcmVWgR48Sde0q+sPCiL78kgnZViqk1MSRgBlAfo35P+qHhWRDMQ0frj83QOREPqVb+OG8HS3IDK/6WwCiFtHH1IPGYJp6/Dp0oMzoaJoVPZwAoqNgCfEj3KlmZNlhbnnJSY7gL+357HoC24zW9C1GUD6c+mO7dePsAqmplDXuNcqKqqnb74GZ5mEIPd91Kf3+m0/vqOJ2s5vlnXfqY0UCNDcs9AxepFrVPfT77+d/f0tcfMhMK0FCEp7xyMoKnGswP5/tZ2d7Ng4dqlc9apGezvFxSnaMsgLBnDn+sVPHjhHdfbd/0ubbbiM6eJDHuN1Eb78t0n4BnA7sk0+YXGfP5tgsZd8VV7Btb+JE0RcSQnSo26hyf9jPGEhPXLNbDVOoW1c8g1+LekUd90CtH9XDFHXrvbGz1P2tsFU9x2a0oazoaPoq+kYCSE2ntRS9aFbIrUQApZtEXjM/9eE/gfjKZOxeiL40HXdRDsoEbHbsyPEtbjeVzP6RTrfo43fuXWhML1b6H33weo6/pFZcTPTLL1Q0chS5LOUHg65EV6qJI/Tww6zWDvb+lqg4yFyaQUISnvEIpPJZu5btW8pzxW5nCSkmhh02atRgAmjcmD/37q0/54YNTFBlqyFERbEjwu7d/vM4eZK1WlobnMnEKsi9e8W41as5Zk973tGjOduGy8XOL9p9jz/OhDxypOirVIlo02fb/VJsEUBr0Im6YQUNGMC/D2CJcPDg0t+ALMq1MpuuRweKjeGMLY013vpTTA8RAZRnCicL3Krk9xeaU25EBH0ecQsBRJ/iNiKADqIOPZX4qXqCTeCI/Gwzf48yz7J2NaOIzltmn9dq011cL8z0GUbRm3jUP3NM27ZEc+fym8iePZR204NUYNMTWC7Cabr1Pnr2+p26HK0+H0vVjavn0V5H83LnmoUoGoFvqWlT/7zTUqVpPKRKM0hIwjMegYz6OTks4ZWUlB8b5XYTPfwwP3PefJPJ5tNPObau7DOpdWt2YMnP9z/P6dN8HodeY0bDh5cGJpciPZ01XdoxLVpw6jIiDmxv2lTsS0xkNWpqKifgV/qbNeN4w/UJA3Qny6zUiIZgLgE+atNGn07t/vvF52/qTFA3Hmu1VDcXgD1V16M9Sx/2nvT/7Z13eFRFF4fPlmyym0oSQu8xSO9SRBBQadJBQVEQ8RNUBFFRigICgooFRRAVQQVRUbGDgBQbRapKE+k1pJCym757vj/Ozp2Z3Q1sEnITknmf5z7snVt2drLc356ZUwB4v44Y6mNCVBQuiRqNJhPiczATEWh6rlNV7sSyxjJEN2G7mthJQifG5gGgM6KCZIpnmmz4IjyDM+B5TIAo+frGjamMQV4eYloaZr62CJOqeGch2Ahd8dm4L3HF8lzMzEScMTVHcwC62pZzz/2YelYWN+W0oj/KacVPlODpT2HctpOSqIoBe9a0beu95GKxkLPJtm2+RfPSJcSnn/auaTdggByG4HTSVKVYwSA4mKZKmSC//bYsmN27U7WFgwflpNas/embtmiNCYFVcf9j76LFmIsAtA73zjvyNW0a2hEAsbYtHjNMFDuxydAFW7V0aSLH1hq7ts/QXPhnwTTNyAFAPGGqiw6bDRfbHsaoKMR74WPtjeICjmtrelsj+2qpxs64PUFzDAFXFKNiFUDBNTYPDN7TnDXldbpkSwyOh9fwKXjJqzoF1q9PC6m5uYguF7o2bcaEzoMwzyAnpT4N1XGObTYOafgP9oQfcCB8ga82/wgzXn+HEnTOmUP55yZOpLn3+++nTAWPPy7ULFJhCSWBCkvwEyV4+lPQ1Ev//ON7TY5ttWtTzsT8whGSkshL0zPm7s47vaej/vrLO2xh4EBa50Mkq69fP34sIICE0Okk3wcxhGLMGKrS0KM7JXq+DOG4NG4u7vnNgWFhXEh/+IFfV6kS4rynEvATGIoALtzS8gnthtO6/aHdu39//j7/a/CLttMTfkAAWkMEQDxvroHxMTH4Rsw4jI1F7AC/aed2gZ/xy+DhiACYGFAZf4YuiAB42VIyxWJFQdP2BeHzjMtzWgIR4+KkttO2OLwLVuFjsEDzWtW2unXJ7M/Opj/mmTOYPmEapgfLnzcLLPgRDMe2sA0BXNiwIXnuFtf3W1F0VGoxP1GCpz8F+QX87beyo4i43XQTiUV+iaNZiAATF7Z1704hWSLp6bT2Jnpo1qlD92ds2SKHcMXGUiozRKqSzmbaDAbE114jh4YePRB7wff4CjyJQ7om4smTiLVq0XlGI9XmE/Mgr1iBeGfgekQAXFh5luZq/73xTrznHi6yLBC/Rg3EqQEvaTeoAEkIQOWUABATAyqhw2bDV20TsFUrxCpwTjt3FLyPrzZ4T9t/0faC9voSULBjpjnEbWWVXKJp0c3W6dEXFwA6q1aTY0QA8O+wDtgJNuP/4B0tWba21axJJjorbJeVhXkfrcSk+u293vtPaIUjYBlWicjADRt8fMl8eK0oC09/lIXnJ0rw9MefX8AuF80gXaGCC0ZGkmB4kpZGaRVFr0kA8tJk62/i+3z1FQkHOy8ggHItsmdZbi55W4p9uf9+eh+nE/GZZ3i7zUZ9yswksQOggPEePShWUIyvW7BA9uKcNImmV5+Gl7w+7Jwhe7Wp2IEDeZjD0KGULxMB8GzojQhAos0s4tSASIyPicF5MZOwWzdKPJ1pIOePWTAVH+91VHuP5U1fxVwgxT8Q4f3wFze9pjml9xF+jTggyDto/aabvOJZNkcNxAbwD46ED/Bf8CiCW7UqTVW6xemzzxBvCd6N78Mor5i/RIjEl2ASLn3uhDxdftddXtMEysLTH2Xh+YkSPP252i9gux2lWDTPLSCArKQWLWgqkE1l2u2I8+bJa28AFKa1ZYv3+xw/jti7t3xu167kYMI4eVK2wEJCKPsLfQ45Jq9qVXr2iWIHQK8dDlruYW2PPkrp0ZiItmmDuGYNvV4Jw6ROOcGA9uCKeAJqYRvYgVOnCvd5xIUXgabkNtR8AAFoyYqJvcMcig6bDWfZpmh9/ddM7p0rYRjeNcSFZ4Hys/0Zdw/+CNTxlJCq2hRiho0i5tm+3mt6kmcrU3r35hmT5wyy0nyvMH/tNJnx80qPYmU4h/fACjwADeT3iInBlCkvYeXgNGzZkgzAGFMiPgUv4zGo49WXPTX6YPZ3P9GvnV69aFH488/9/n4rrj3KwvMTJXj6c6UCmampFBPXrx9lNpk1ixxI1q4lx5KEBHrOHDhABVOtVrLEXn3VO2lGu3aIGzZ4O7BkZZEFKIYwVKpEacfEcz//XF6Ta9OGr+VcuEAGBTvWrBkFpfsSu8xMWkNkbT17kiMLmx4NDaV8nSzd4xGTd3WAXDBhf/gKmzTha4hVqiA+1O2Yds6M6pRbs08ffmm2KQgvVayI0ytOx1GjqG2tkUo9/AHt8OabEb+yksAmWqvh2CAeqvCblRKElmQGlnzFVYglSYMQzAGTdI2rXizisGGSVZhrDcFFVWdhMKThYPhcK7HEtkSIxFfCZ+HxvSnodNIPqX278/DP6d/h6cY9vPrgjL1BLqfw/POITqcqAFsCqAKwfqIET3/S09MxPT290Nfv3cvzaRoM3llZWrembC2+PDV//pksIHauwUAhAGKcsMNB2VXEe06axH0d/v6brAB2rHdvmt7MT+w+4BqCTZqQqIuOLytWcEG0gd2rErfLaMQh8BkC0AwcE+qxYxEfDuZely0s/yAA4rhx/PI8gwnTg4NxSvAsnOjOaPYWPIoIVEsvKgrx3da8UvvUXrs1gTvUiJuvmRHk+cjKD7l0jNMT30NaS7TJ1t0FqCRPcxoM5JkkDjYAZlaogtOrvYdmyMY+8I1WGJdtKYZwvPTwNPJQEvn3X4pn8Sx7L24DB2J6fHyRvt+KgnPu3DkleP6gBE9/kpKSMCkpqVDXbtvmvTbHtmbNEL/5xrfQXbxIAeWewrhrl3ze/v2IDYQZr0qVEH/6iR9ft052gnn8cXKayU/sNm3iziyVK1P6sbff5ufdfz+FMrCZujHN/pCtCDDg661XIABZgsuX88NLlyIuhEfoIR4UjgZ3urE57hJ9BnAiAmBShQo4qcJcfMHtkyIWrLWBHd998rC2v/X+9/FroIj3jPBKuN/QjEQgSF/PzSsJqTTFaTBI05dphlBMAjlexWm1IU6eLAdHAmBK9YY4tsZ3CODE7rBWK56riasthH7peK7H2e2IS5bwEhYeW1KHDpj011+F+n4rCseJEyeU4PmDEjz9SUlJwRQhbslfNm/O32PzuedoqtOTvDwSGPFHeXg4tYnenS4X4ltvybF1PXrIz7rFi/kMmdFI5yPmL3aHD/NYQauVPDr/+ou/R2wsWXu33kr7ZjPiualvSx/szMyl2ns++ihf24yKovffA83pvMbdtcsWLaJ/LZBFD/bwcHwifD6++Sa1D4Avtfs3hH9w+TKXFrt2tP19ODLwE+34Dw2f1F7nxNAcbDoES6Lk+W/xCiEXu1xhGtMzKPNfQ6yUJs0FgK64+ohvvulV1fVo9c7YGnYigAu7wM+4CW6V39dqJcuO1ZpyucgNNx+PqpTwcEypU8fbQ0pRbJw+fVoJnj8owdOf1NTUAo/32rXeacPEzWKhrCiidffnn95ZWO6917tqekKCvO4VEEDPMyageXlUVYYdDwnh4Qr5iV1CAveUNBjIE9Th4BlQAgLIuvyYz0jipEmIZ3ry1C7f9V6Mzz/Pj+/axY2ZBx9EHDk4XZvi++2Omdp5H35I/wZDOiIApoaF4WNhC/Cjj6i9GezVbnonfIuLFyN+FUBKmhhSE+8fkIYOd528C71Haam74ivzNS8mNk6D/uEKouhlibk/zWZJ+DINVjwAN3pPcw4dirhgAboqVpTuuwruxrrwHwIg3gy/4jq4Q37vwEDERx6hP+add1I6H497sPFODQujP/LSpYX/j6LwmzNnzijB8wclePqTmJiIiZ7rI1fgq6+8nPO0rW5dcuW/80569tjttB736KPyD/D69dFnhvtNm+QisjfcIHuZ2+08pyUA1bjbt4+O5Sd2WVly8Porr9D5Ys7N+fOpn8zRpkYNigU8GEwR45OsCzAhga9Pdu7MvTjbwA788UfEIdE/azd8tcd6BKDPsngxNUdAMolYZCSOiXwbv/2W2sMgRbtuHCzAJ55AXNRkkdb2/cLjWmqt7LAoXBEzgcQNAPOqUJG/JM/8lV6ipJ8AesbmYbVq0h//UEBjvADylKzLakPH/LdxbsBzmGnia4HZEICvw3iMggQEQLwJtuP3xjvl9wwIoF9XLLN4Vha5/P76K+KqVZj48suYOHEiueW2b08Lr76mHxTXDDWl6SdK8PTHbrej3VeSSx+sWEHTiCEhFB4wZgw90H//nZcH+vZbmmIMCiJPS3FpJSiI1rSysuT75uRQlihRFEeOJNFhnDvHU3QBUPYSVlIoP7FzuVALEAcgj1OXi6opsLbu3en598gjvG3NGsS13+ZgJgTiU/Ayzp5NXqLs+GefIQ6npCj4nbk/Jt/zKD4PMzSr5Y52qQhAsYazZtF5lY3xiABot9lwlO093LqV3y/TRpbQazABe/RA/OCpA9rBSy8vw6EBvMO/jFyqrZtdasHzu7GQgDwzzdEy0dFX7Ixe/UEAcmipUkXbzzVZcL3hNq9pzoNwI3Y2bsWzPUdLAe5ZQWH45U1zsVObDLTZENuY9+DZdgPl9zeZaBFWjGMp4PdbcW04f/68Ejx/UIKnP/4G5qalURD3f//l/wN52zbv3Jhs69WLfnh7cuKE7L8QGkpCKbJ3r5xVpX9/nog6P7FDpMwurP3220lYT53ijjYxMeRAs3MnF9s776TPN7ThfpwKszAqij47W9urXJmEmK1Dbo59UBKY3MgYfMk6HTdCV3xh2EEcP57Oaxp1FhEA42Ni8IGY93HHDu7YeLYyWZJfQ1+sXRtx+zYXxgNNz53sMhLv6pOBaUALpjn3jsT1ZgplSDNHYF4VGhivnJU6bL7E1CnkxMwAj4zg9etLyab/szXEP6CtR2UGA35qvgcPrdpLfwzx+urV0fnBcvz3UB5+/TVixs6/aUpU/KVkMCDefTe574rf73/+4al4FMWKCjz3EyV4+nOtAnMPH/YOMnc/o/Crr3x7a376qezActNNfGaK8f33ct7Np57ignslsVuxgrc3bEj5hHNz5aKw69bRmiDLdWm1kgB/8w2tuQFQXtAD3ODC556jMAu2/2//p70/NAB+ACNx4ULujXp77HFEAHTYbDjMtgJ37ODhFLvqUjn5/dAEDQbq65cmaksMq40rViB+DHSj3JBwfL/P19r7pPfhgfEsBZkzyOZTkK6FtVcYpxgm1ghAKXmE2lNOgxFXB96jBdyzzQE2vPTSB+Qd5bn427Qp/fHYl+rwYcQRI+RcdACIAwagY9s2+n7//jtNTWzaVOTvuuLKqMBzP1GCpz/XIvXS+fM8UNtza96cnlksbg6RrLMHH5R/lD/7LFlgIm++yWe2TCaqYsC4ktj98guPhY6JIRFDlC2+p56itrfe4m0vvkhiynJfxsRQX1l5IJOJAtpZ34ODEXNemOv1oe1gw6pwFjdupClTAMR7Wh9BBLLwhsZ8gjt28CnaNXFPa8IA4MI9exDfjOMdS/37FPY3favtn124Bv8Dyld5rmJTdMaQdXcSeEBinpGmC7Ukz4b8Y/UKKoRXFD1hKjLXyKcsEyFSPq9tW3QJnk//Qiy+C6O8pjlzY2+kWJFPP5VLXwBQIcY9e/iX4tgxCtoUFpnjY2IwfvBg1NxiLRaas1YUG8rC8xMlePpTVAsvNZVE7UrPyIgIsvIQaXpSDDavXBm9EgHn5so16MLC5Pi7K4nd0aPc0gwKomlWRMStW/mzuFUrEuDz53kcX4MG1Cau7732Gk1fhoZqBgPm5vL733UXYsrLS7w+8PMwAwHkdcfxt/9DlovNhv1sa3DHDi6G82MXa9dGwyX85BPExY/8pbVlLPkI+3bP0jw0XcOG4Ts38Pi93LF8sFj6LdeV3GiLexPLCZl5FpYMCES7kVt7aZE1cL9J/vK8Bw/gRujq7c15zz00t/zGG2Qliu83fDjlnWOcOkWeUoGB6LDZ0OERFI9GI2UgUBQLysLzEyV4+lMUCy87mxwzPJ93tWuT49ynn1LaMAB6vWCBXNG8Vy/vMkJpadTOzqlVi5ZfGFcSu6QkuUINS6mYlERTqwA0q/Xvv9Q+TEiTuXkzTW82ctckrVKF0qSJtfE2bKCyQ+L9f5+4WvrwKcFV0QZ2DA2lGTc2bTlr0F7N4ugf8xXu2MGnOx+quU67vg3swOeeQ9y00alZRWfuGIVLlyIuhQdIRKzBuPb9M1q4wsmbhqAziqYzDwH/NZEdQs4wotVU3JtPC9JolALUzwqlgvLAgMdu7IHZVp5B4AxUwyfhZe+SQjYbCdXlyzQlIIq6xUJme3Iy/7KcO4fxTz6J8WI2cnFjLruKa4qy8PxECZ7+FNaLzenkD+yoKLJ2liyR1+C2beOzS+L6nsVCP9Q91/VOn6blGXZe27bkVMK4kthlZ3PHEgCankSk9xgwgLd/9BG1b9jA2+67j9pWreJtb71F17L+xMXRZx47lvaDgsj6e7P/z9JDdH7jZQhA65GI3DFl0QM7EYG8NO+wrcUdO1BzaGkXeUS7/m5YhUOGUJzgGgN1PLFCPUxMROxh/IkLxarP8RMbza3mGAIoe4n72C5wm5XC1J4meu51Lqcf6cgKu+YnZV8RpjhzArhH0wWIkaogZNRtSPEewn1+qT4M5wdO9hbsG2+kdbvTp8mdV3RaqVCB4kzcXwz72bNo79kz//4+84zvBWZFoVFemn6iBE9/ChqHx/jpJ/qBvGePb6/NxES5zA/b4uLkZRfGrl2S5zoOGSKXN7uS2Llc5LPAjo0cyZ9hi/lsId57L7VlZXFLMCKCRDUvj0+1Vq9O9/6N12fVwrdYLF7//nSvIXH7+EktWmCdWpRSbMQIEi126NPHfyfxiozE2yPX4Y4dPGTBaszScnY+Cy9i48Z079drv8FvcPYs3tE1V3NMcQ0ahO+O3cMF5MEp6HIHeu+G5pro5Fat6RahwolXYTfp/QThzbWFaq+zIACPQW0usBYLTU+y5KwA6IqKwmNT3sVjsXd4F6O95x76pbN/v/zlAKCpgQULMLFNG0z0nAL13EaPzr+Qo6LAqDg8P1GCpz+FybRyNZxOqkLg69nyxhs8Zo+xZo2ce3jyZFlEryR2iDxfJQBily5yYmk261W3Lq03InKhAaDUX4ioZT4B4M4xLIbPaqWZsl9/5ed8/DHNrNWA01pj5o+bNGNj7lwyQNj566dsRgTK/NEpbAvu2CGLsbMqzbkugYfQYqHn7xsj92onZC9biYsXIy6CMSQogUF48Wga/gYUVZ9sqyoV9FsHPEYv10yDkApcbPzZCmvh+bxOCEfINQVKFdMPwI1yBfUOHeQy8gA0z71mjRyfAsCnORHJbG/RQjqe2r49pi5dSjE1L75IgtqypXf8zKBB3gGiikKhMq34iRI8/SlsLs0rwdbt8tsqViTXe5eLZp+YSJjN3r4EVxO7Tz/lx+rX50s4GRmIjRvz+7Kq6seOcRFs04aEJTeXpx6rXZsEMz6eGyYPPkjXTpjADZbLlymlmQ3siACYcHM/3LuX9+Xrr8mS7QybMRjSceccqpyeEh6OHcJ/xZ2/ZeO61w5o52e0vgURADdANwQg55vvv3VqyZfP3/kQXriAeCts5m+yYgUuaMdzbdoXLUOX28PmN2iPWQaKg3PW42EA2vSgezE1vwD1ooYwiNOaolen2C4mlr4AMXhcsPYwLAxx4kS++ApA3kOLFtEvFs90P2ya0+mkXyPuxdOU8HBMCQ+nX2BiEmmnkwJDv/8e8eWXaVpg6lRvV2FFgVG5NP1ECZ7+FKVagi82bZKWbbQtOpqymbCUXkePyum9IiK8Q6SuJnZ//MGTP0dFUVA8Q8yc8tJL1OZyccvTaORpy5Yu5eeydIsvvsjbdu+ma9kUbc+edA5VV3dhOgRj5v4j+AnXHjx8GHH9esRxsAAvQgwmdidzMalCBXy1wgTMqlQDD0xdqZ0f32sEIgD+B3URAPG770hUWbWExOg4RETs3DEPz4F77rdPH/xlY7YWdH4mtrNU7I/F7iEAZkWTZWQHwbJx/9LgoneFkvaFEj3htRCQnmPiAekXhTRjeWDAP8CjunufPogPPCC33XIL/VHu8MivKU5zZmYivvIKJtWqhUksp6fBQPc6c0b+oh08KM+fK4qEmtL0EyV4+nMtUy+dPy+nEgsJIYeQtWvph/ORI1ygxJmpunURDx2S73U1sTt+nOcKtlhoupHB8lwCUKgWmx4VQw7GjaO27GweQ1ivHvUzL497V7ZtS+ft2OEtiqz6+qJa8xCRzygGBNB9Vq5EvAGOSA9le3Aw2oOD0WkOwIPbUrRDh4bNIDEAM5ogF19+md7jlaqv8uvPn8c33kB8Ax4ngTIHoCspGRdV5FmtXVu2ossdqb8euuFlk3v9Sohhi3evA/r8ZXKtNh/VC8RpS6eVz2HbA8IwQxDivwOaYV5lIRC9UiXEefPkygqBgdT2669XnOa0nzmD9qeekt2Dg4Jo3pzNbLz3HsWIiF8wRaFRTit+ogRPf65VRejcXMROnei50r8/ueyL4X1OJx33fC7efDNVMxC5mthdvizXyRNTkZ0+zZP0V6zI822mpfHnYuXK/Fknhh18+CG1scTOYtukSbRvMpFDTkYGn1Wb8jRNgw2hHM/YoAFds2ABIoBLmqq7VLEiXqpYES+374kXL/L32fIgX0SsBSdw1Ci6x7y7dnMLaMUqPH0asR0Idfo++ACXzzmrVUw422cMuee7j78KE7jgNKOMJU4Qyvm4F0+d19i6y1/0hGrowjqay2hERwUucinmSHTd2kW+ftQomuYUM6q0bEnBnbNn+5zmvLRjB32/T5zwLsIYFUV/pFdeof1evdQ63jVAVTz3EyV4+nOtUoutW0eWj1itXEQUFnF75hnZa/NqYpeTQ1YbOz5jBj+WlyeLKisbhIhahXEACj9ApGcbWyKqX59EG5G/f2QkT0LN1vi6daNzNm/m9/vxR2pja4YDB9I+s/jeNfG5WxYIfWzq+5iTw++xYgz3iLkVNmH79nSPzz/Nw8sQjgiA8YPGICJi25tcPKvKHXdgairil2ZS20xTMOKRI1rg+bfQG0+b3YJbpQrmukMDzoLgEusWELa+dy3FT6wYz9byJA9Oo1G2vthAs+3OO+VA83r1yHoTsx2YTDSVGx/vNc3psNnQMXw492TatQuxa1f5PUQB7dNHTgukKDAq8NxPlODpz7VILXY1zp6VK5N7bmFh5FF5NbFzuShzFDs+fLgcQsWqiANQzTzG/v38mXbbbfwaMa3YJ59Q23//8bann6a2fft4G/PqnDmTGzEpKSS27Lk9ZQqdw2L2Rkd9pd0gPiYGz8dUwt3ryKpmiaxnjTmrnfMALMWICOrnhQuI30FvRABMrESm48svI74ElI7MZTIhXrqEr/Xbwq2jFxZQ+Xf3/iTg6c+cLL0LAJ4Hd4yFIDh5brHT1tyukJLsqmKnCZzvQrG5omcmGwi3MEtfmKZN5Rg9o5F+Kc2aJVcJrl+fpjj/+EMz5+NjYjA+Jkb25nS5aJ69SRPffe/XTzmvFAEVeO4nSvD051pZePnhcsk17MQf1XffTe77AJTq8Epih0gPena8Y0d59um33/iSVIsW/JjTydfaLBZaR0SkKUkW99eoEQ/DevJJ/pxnTjDTpvE2VrCWWZktWtD+0aO8bx9/TG1sirNjkxTNLd9hs+E62+2a1yjLozxqpFN7eM+CqQjAg+7nRQsfPD4ejx1DbAm7eNvixfjXfhf+BWRiJkTFIZ46RXFtAPg5DMK/LK20XxdZ1SkPZwqEcjHyqFIuiZxb9PwJVvfcfF0jruVlm4RsKUL8HQYFyWlzQkJoSlOMX2nRguafxYKHAJRWLC0NcfZsdISFyanFmDcnIv0rvqe4DRyoRK+QKAvPT5Tg6U9xW3iffSY/R8LDyXI6dYqmENkzTfSf8CV2X37Jl4Tq1ZPX/ZKTuZNJcDAXNUTE99/n933uOd7++uu8ffVqasvI4M995omJyNcLb7mF9nNy+HP38cep7bvv+P1YFZou7iWo225DuthtcTwe87omeO3a0Tl9+qAW+b4C7kEAmjZFRHyhz04uQp9RvrTmzVz4L7jV8tZbERHxlVg+b5z7w0+aG6wTDDgCPuAdFFLPMJFEAC02TcyAkp+AFWTa09e5YvaU3EChHEZEhBSzh61by2uBgwZRGhu2HxhIsS0LF5IosvYaNRB//BHjjx3DeM+YPoOBalJ55tj03IYM4fPcCr9RFp6fKMHTn+K08BITeRXx2Fh6JolFXZd4513Grl29xW7nTh4nXKGCLGguFz0D2fXLlvFjCQl8+aduXe55brfzfjVrxr04ly3j9/nuO2o7eJC3vfEGtYkem198QW2i9ck+I5sxGzoUteBEh82GdWz/aYLHSr61b4+aifsHtEMACkxHRPxwaa4WNJ50z6OISLN5s2AqiaDBgHjuHK5elo4pQFOB51r3RTxxAl1u8fgY7sWfg9xJSgMCMLdbd7cYAV4wuk1dQQBYns48IZzAc/O0AK+0uQzeHqGipSc6sKDFIk9x3ngj/4MB0A+DRx+VhbFLF5rK9Mi44hgxAh1nzkjTnNoWFERhCv/7H60JepYXYn88JXoFQll4fqIET38Km1rMH0aMoOfQt996px+z2+VUYmwzmcgYmjCBzjt1iqfzCghA3LJFvs+77/Jrhw2T1/RGjeLH1q7l7aI4ff01b2/Thtpq1eJTnGJWltOnqY059QHwaUf2XtWr8/uxfo8bh2T2AeCGqK4YFZWoCR4LMYuNRS148KKhEgIgzr33b8S//sJjxxB/BHqQJ1alvGOHDiE2gr95RxYswOxsxCXW8dyqOnFCe4M8MGJP+B6dTHj69sVcC4nMYRDc/QVRYM4lWsWDKwiby3B1y88lmvFsbVC8p9ksiw4z29kvHU/L7tlnZXfdsDDE5cspbY77l05iVBQmxsbSVIPLla83Jx4+TG7Fv/6K+OqrNN/O4lXuvVelHisAKg7PT5Tg6U9aWhqmeeb6ugakp5OzR36I6cDEzWIha6dFC0oFJvoVLF8u3+PAAW751anDQw0Q5TyYgwfz9rQ0nsi6VSsukDv5rCHOncvPZ86ALBk0Il+TrF+ft7Gq7bffTvsuFzdAZs5ERKcTs8Oj8enQeRgamqYJ3tNPI06E+dgn+GeKK3N34nmYgdkGC+LBg+hyIc4J48fYfG7Dhoj/QENqc7t1vjaGx/0lPDgJ8ehRTWiWwgO4ysZ/BbjG8uj838WAb7d1JcbGuZgQuT/UlerqXXGtTxQ9QdxcRkHoxIq/devK1/foIQtWv36IY8bI5wwaRKb53XdjWmgoprH6Tv36Uc2m1NQrB60ztm4l9+Pvv5eztCiuyNmzZ5Xg+YMSPP25fPkyXs4vlqCYSEz09to0GMgiPHyYz16JnudTp8r3yMzkYmg2I27fzo/l5PAQgZAQ8hJliEIrhi0wS8ti4SWLRI9Nlq3F6eTrfKNHU5vLxWfg2JpeSgq/9u23qe1Ct3uwSfg+DA+/rAneSy8hPgyUVNPlYXnkgFlznJh22zZ+7MsvEZHWJKeB4Jp68iSePo34E9DDPD0oiuZx3fFnOWDGtvAHr1rQqRNm1ybrLgkiMMlcURI8avd2ZmGi5/QxTck2p4+UZdpr0YoTP7PocSmW16haVV6f69BBrjhcsybF04lpyCpXRvzhB7z8+ed4WXR+CQ+nQHOXy/c0p+jNOXs29UlM4aO4KqdOnVKC5w9K8PQnOTkZk8UaYjogxsQBIPbuzX9Af/CB9/Pz7ru9p0TFArGiRYYoTzm+9hpvT0nhYtW2LbfukpJ4fs3hw/n5L73E78OeeX8Ls4gsKF0MIGdhC6JYfvYZte1csgcjIpIxIiJZE7ylSxGt4MAEiPL64AeggbYeuPjNHEwHsnxSR5Kq7tvnkcnFnZ5ldlseOZ+5eBlZie6pw8XwML4RzNOPafEVALgehABHoUqvHWhtT0wJxqYkcw1u8fMhemzdTjympS8TRU8UOtG6E9ftgoO9RU4IsUCTiX4BeASXJz/yCCYfPCjHswDQXDv7o+Y3zTlwIL0ODfXOjqDIl5MnTyrB8wclePqTnp6O6aInSTFz8iQP+2rXjmaNGC6X79Codu3Imvr2Wzrvm2/4sW7dZDE8fZo/M5s2lf0NZszg161fz9tfFbJ3/fEHb2dLRs2b87a33+bnnjhBbWIQOvOs3L6dt/38M7Vt2oQYEpKOISHpmuCxzzITnvP64KthEO7aRef9/TfiT+4KCEk1m2njVa8e4m5wVwho1QoREdevzdOyu1yq6Z63dcdIZIEFb4QD6Ah2u+M3bIh5fQe4hcmAW023ypYVAGYbuCDlWkO8+sli63LBh8VnNGr35kJokI4hgFzMVTT/o6PltUOxGoLFQkmfRYeX226jhV33Gl56SAimN2pEf9iff5anSK1W8vDMy/M9zSluMTFy6iBFvpw7d04Jnj8owdOfhIQETNDx1+v995Px8NVX3nU3xWrinlv9+mTpnT3LPS+jo2lJRkQs9vr777w9OZk/Rzt25O/tdPJYuObNebtY2mfWLH6foUOprXp13zX3WJze99/ztv37qW3TJsTo6ASMjk7QBO93KpOHleACOgMs0oeeCc/hihW8ny8EzeHi4U74/cwziJNAWN87ehSdTsSXorh56tq2nTrh3l8A4/DZkDf5NS+9hHmBJBp7oSnaLRHUXqWKJkoXDJX5/QJJnLKB95cJmlTmx0P0JE9NJnb+iF5IiGz5tW4tZ2cZMIDPYTNxWrkSsUcPTIiOxoToaHqfqVMpFdCTT8rv26YNn2LwNc3Jtrp1lcemHxw/flwJnj8owdOf4g48F4mPp7i4/J4ZvXt7P2Nq1KAQgcqV6Rkl/sD//nv5elFk2PoaY+pUfoxZYYhUyJa1v/sub3/jDd5+8CC1uVz8WXjPPfxcltSEZUdBJAcbdj0T5U2bEG02B9psDk3wjggzkse7jpI+/N2wSlq7nHSz4Injdi/duROxFpzg7bNnIyLiolmJWjxdfHf3PG2/fohAcXbV4RQmR7rTeFWtijh9unaP5XC/LAbu1+fcmVnyxMwpFu9YNk30RMuMeWX6cloRz8tvetNslt164+JkYWralBcwZNvTT6PjzTfRIa4HtmhB3k47d8rTCWYz4vPPU8aC557L3yO1dev8vt4KNyoswU+U4OmPHqnF/OHwYfm5YjDQOl1amm/Lb/x4snqYwDgcvCBAdDQ5xjASErjPQ5cu8vu6NQDDwihUguGOE9cSQSNSLT32/ixGDpHPhLVrx9vEdUTm+LdpE2JMTDzGxMRrgpeczM/79Ll/pA/ZBPbjoEH8nq/Ozdbi4xwPU+40l4uWs7ZBW7quSRPtvh+ZRpIAGS30a2MXz87yCjyJI0M+5+83Ywbm1iUHlkSogDttnbVjLneVgjyDGR1uEU0Rism6gqhPctowkyxqorCJbWYf4ujpyCKKoJhrMypKEmQMD6dQBcHpJr5bN4z/9ltatBXv+frr5Pn0wgvy+4V4T9l6bb17F/DbXb5Qged+ogRPf/S08K4EyzsJQP4C4nTkqFHez5yoKEqU/9BDdI5owXkWkWWVDgDkMkKnTvGZLeZdiUjTkuz5O20abxettgMHeDurk/fAA7yNauWRkDJ8WXhOJ3/+z5qFmiOGE4wYCJnYsCG/fscOxA3QDREAk+u00NqfeDwPx8PrXp2b2ZcLXPrkOXSyuyCgHWwYDfF4tpp7oTI0VKqm+wncjdkBZL1dCK6rFZM9C7yiQTxU9LLWMoGLk+ag4ukQIgqd53FRFNnAGI0kZuIXRHzf3r1lwXz0US2FjcNmQ0dMDGUMnzVLft+uXelL8M8/POUN29q1ozXR/LKxsC+ewgtl4fmJEjz9KQ0WXlISPVfMZppNEnNkZmXJzzpx69yZhO+33/gzs2NH2Ynl4kX+zLrjDvl9RZEU6/EtWsTb9+7l7Ux4o6K4ZZmezs9loQuIVCUdgJZ9GL4sPETujDh+PJI3DQAmRsZqWsCmgHNyEGcGvOAWRAOtR61ciUemLMeqcJY7hjz/PCKSQfcH0IM8Nbw63egPXlpoDkzGHsG/8A/w2GPoGjBQu/8C0xPasR0VuEPHAeCCc9kQ4SVg2WYfImGxeLeJQiceF60+0boTvTbr1ZOdVXr2lPOBdumC+PjjPHk0AGVU+e03WTDDwij5aW4uzWOLAle7NuKGDeRpNW0a/cIS33P69IJ8zcsNysLzEyV4+lMaLLy5c8kj0ldsr1jMlW3h4dTOqpez56bZTN6MIk/wZ7YUq5edzZ+fXbvK13Trxp+pomMNqz/avz9vE2YJNS9SRD5VKgas+7LwECmAHIA86pmr6plWfbX7HjmC9MEuXsQnWm3lb+he9HR+vBKrVEHcCu552Lg4rePP1/1YOz9vNcXvsfI4qRCKFSAJD8b14wO4ZYvmwLITWmlTpblgxsR6fPrwjNvSywYzOk1mLh7u4073PaRYPVG8fLWJTiuiAIby6VPNnAaghd2qQqHY1q0pVxzbr1YNHa+/jo5atXhbo0b0RxOqSSAAZSdITKTKwmL9KQD6pSOG7gwdSrE1N90k/yJSIGLRLDwjKBTFSEZGBmRkZJTY+yMC1KsH8McfAE2aeB//5BN5v0ULgD17AHr1Ati6ldpyc+nf2FiALVsAnnkGwOEAOH8eYPFiOta7N0Dbtvw+X30FcOkSvX7kEd6elET3AAAYNAjAYKDXFy8CHD1Kr2+5hZ9/6BB/feON/HViIv0bHS3332bLAJtNHm92TmIi0BtOnAjmpg3l97h8GaByZZj+33B+4Q8/AACAMSwEBgwA+BSGUvu//wLs309jMnkIXIKKAABwedbbdPy55wAAIAzSYRy8BcPPzgM0mQDy8uCv/y2EnbdPAwCANrAb1kF3yIEAMEMeRAZngzMkDAAATOCEHDCDBfLAHhBJ901LA4iKoj5lZwIGBIARXQCBgXQ8O5u/ZgObnQ0QFESvs7IArFZ6nZMDYLPR6/R0gEj3e5w5A1C7Nr2+eBEgNZV/cXbtoj/gwIG0f+4cZMybBxmjRwPccQe1HTgA0LEjQOPGAOvXA1SvTu1ffEFthw9T+wcfAERE0LEPPgBo2JC+NIgA331Hf4/t2wGaNweFTGZmZuEvLgYBLrUoC09/9I7DKwhpafKP/ocf5omlt271NhbYFhJCHpvjxvE2Fs/GYE4pVavKVWCWLuXXiFbY54J/B6uGgMinRS0W2fuUxW3ffz9v8xWHh8jjm91hdIhZWZj53QZtWWrePHe7pxci2zZtwp9/RoyBi5jHYuGeeQYRKdHK/CBh7vbAAbL+OnZEBMBkiMBQSMXtLXiR2o6wFY8Ac2CJxLnwDL9+2DDt9Q5ozS262nX4OcxpRPTIFD0umfUmOq+IU4XiuaJ1J05p1qzJ728w8D8ou9eYMYhBQRSHFxJCVtkLL8hreHfdRdOVnuM6Zgx5MJ0/z/84bGPZvqU/jEJExeH5iRI8/SmJTCv+8tFH9Fyx2VCLR2M8/7z3c99i4ZXVIyP5c1WcgkSkqVN2jVgxHRGxVy8+cyZOZ7LMLiEhsrCx52HjxvJ9WKzgk0/ytk2b0CvTCqJWxQdr1pTvwRKLjBjhbjh7Fl2iGAgKnJtLa4tatpTatbUPMOt/pzUhTBlO1RbEeIxn4UWsY72gZXI5X68j9jSs1Y6/B6N4GaGgICnDyS5DS2kKURMgNlUpromJ4sWER1zHy0/oPIvDsteVK8vXdOki3++BBzC5WTNMZtc3bEiOOWLGltq1aa77s8/kNcDYWMRt22isvvgCsVIl3z82WLkMhUZRMq2oKU1FsWIwGMDAppdKGatWATRoAPDnnwD33isf27hR3g8LA1i3js92JSfTrBgAQHg4wJQpAFOn0j6b5jSZAB56iN8jNRVgwwZ6PXAgn3UDAPj1V/q3fXsAs5m3Hz5M/4rTmXl5NOMF4D2liWgARHm8pSlNAXZP9h5QrRoY3NOREiEhYDYD9O8P8BncTW0nTwLs3AkAAMMm1YCvoT8AAAR99iFAWhpMXHs7nK16EwAATITXID4zFObDUwAAUOXYbzBrWjZ8baKpwVGwDF6FieAEI007OhwAlSoBAECz0BNwyViZ3jM5GSA4mKTAYqG2jAyAChXodXo6QEgIHySjkeaj2ZSmw8GPp6fTHw4AICVFmyqFCxf4NOTFiwABAQCV3e+/eTNAq1YAFWkKF5YtA0P16mDo3Jn2Dx4EGD0aYPp0gCFD+Dh17Ej//vUXQPfu1P7ffwA33wwwbRpAnz50bZs23mN/3330BVVoFOl5UgwCXGpRFp7+FFe1hKJy6RJZNr5mW1NT5dmwKlV4NhOx9I+4xcSQsbF1Kw+1EqsoIJKzHjv/l194++XL3OtdzLqSm8sNCrG47KVL/D7vvcfbN21CDA1Nk6olIMrFaEX/IeZwExYmWJtZWXgpMk7+cO7s2D/+iFgBknjg9xNPaPea1GaTdv6RcW+hxYI4NIRXrZ0I8zEE0vACuC2Z+vVx31fHtLi/ndAa3xC8NkWnj9xWbbmHaB1halN0KKkohDAwq0/8I4qWmphlRbS6xClNMejcszp6XJwWVJ4WGoppTZuSk4k4xTphArnjinPm3btTTMrbb8tTrI0a8Wq+vrbKlSm8QYGIqlqC3yjB05/irIdXFBwO79RjDLG6eIMGtAzD8MgdjAA0G7VggfczdtMm0gpWVogVxq5cWS5/JmZwEevxiVlSVq7k7WLR2DVrePumTYhRUYlSPTxEWWhZzT1EuUDu+fO8fcfMtfIHdH+A7GzyYP0eemmikJzoxIsXEb/9xqWVEjoINyKACxe97cJ9JkpdcwEqYRBkaJUbEADxnXcwcSIvL/EovIkZVd25KMPDpcF29RbWtloK05zi9KGY8YTNN4temvlNY4rXiVOaVarwXxwGAy2CiuLYvTvVw4uKIhGdM0cW3o4dKb9mo0ayeG3YQH9csf6eyURuuuIaoLg1bUqLzgpVD89flODpT2kISygo48fTM6ZDBy2lpIZn8unISPLoZ4LnecxkQrz5ZvI6Zz/2x46V78kC1y0WXjUdkbJ7sXvt2cPbfxFC28RA9/zCEtauvfp9WAJqRLI4v4a+/KCgzvfdhzgcPtKOPRD7CwYac3CCbQmOBZ75uitsxKVLEY++9KXW9hi8iWbIwZPW+vyXQkKCkIElElcMXsPft3dvnvnEZpMFgsVaAMiWHjOvLRZuceUndGwhFEAWKk/LUcyOcvPN/HVgIDruvx8dzHo0GCgTCyteyD7junUUo8faDAbEKVPojz1zpvwrqVMn+iUyahSv8CuOhyoUqwLP/UUJnv6UhsDzgtKoEVljovggUpC6+AM8LIx7Zz7zjPxsYtvw4fQvi7EDoFRmp04hnjlD17Ln4803y+8n1GuV0pJ99RVvFwPa8ws8dxdDRwC5ioM4Ncpq6jF63XgMMyEQM402RKTKDefOkQiHQqqW8eQd+B9uqzEEt8ItGAJpmOpOCfYV9KfpWacT7XXJIeUMVEMLZOHQoDX8jadPJ0Fw76+p+JBcamf2bC5cLVtykYqI4CIVFMRFjWUYYH8gdh9x6lK06KKjZXFir8Xad+J7McvNbfnFx8Rg/OjRcvaCwYO16vKa9fbyy+TQIvapfXuaPvjzTzlYPTyczPK8PMTdu8mrs359Esrx4wvyVS6TqMBzP1GCpz/Xm4V34QI9q3z9kN63jz+TbDZKqsG47z5vsbv3Xnk6kW2xsfRMbtiQnnfs+Tx5svx+I0ZQe61acvu77/J7iYUo8rPwTpzg53/yiXwv9ux/7DG5fdw4KikUb4jBU6coo0ukORWnRr+Dt8F6/AU6Sh/qaHgrBEB8E8jdNA+MOGW4e91p1SrtvP/BOwjgwsxWbkspOFhyz3eCAdO/2citrJgYObqf/YIAoGk+Zh1Vr86FURQucV1OFC3xtXiOaN2Jomez0R+C7bdujVihAqUWs9noF5JQ4w9btEBcuFBeO+zfn75EoqUaEUEFdzMyvIPVhwyhYPVPPiER3L6dXIuPHr3q97gsoyw8P1GCpz/Xm4V3pbW9Dz/UZrJw40b5GMueIj4PMzIQly3zbfkNGsR/zLO2efPI4BkwgNKXsedi9+7ye7Gq6kajLMz5WXh2O3+PBQvke7EZum7dyEmmRw/KTDNjBhWO3QhdtT727Yv4Bjzu8wPl1W+AjRoh1odDWtvqG9wKnpenicFxqI1myMEtc3kKMnz4YTJ53Y4ceS1byylw7r2Xl7Ewm+W4tttvlwWQvRbr0okOKOI0oSiMYruYbUUU0oAAeSq1YUOMb9mSpxbr0EGueVexIn1pROstNpamBZ5+Wh7DsWPpC7N+vdzfKlV4mY+GDdU6HioLz2+U4OnP9WbhXYknn6TnrWfZIERybhGfo2y6UnQMYdsNN8jWorgZjbR17cpn6caMobRiN91E92UGT3Q0vce+fVSswNPCO3+e1hddLr5++NxzVJWhbVvyumSWaXQ0Pa9Fp0IAxAZwQHt96BBibPVM3A8+qujWro3//UczjloCanM0j+RnvxYAcJThA4pPZKpvMpEnzhzuwILvvEMFCsV95oBy441UXBDAOyhcdGgRPStr1pRFxJfQidadaM1Vr86dYAwGqYKCo149dHQUrN169egPxvbNZnKTvesu3ma1kqW2bp1saTZtSuOQnJx/EoCBA/P/RVZOUBaenyjB059Lly7hpUuXSrob14QePSgjii+YFWSxyFXN33pLfl6ZTDQzdfGi7+fZuHGy46G4NWxIIsgKysbEkHFks5EBNGUKYsWKl7BixUs4fTqdb7NRcn/Wv/r1qU2sZypujRtTVQZfx+x2t9Mh/C1VLdA6g2T5DjCu4e0ffUQDkZurhRSkxsTikAG55KnI5nP79aNFUrbYGRlJD3+2ZlezJuKLL/L7jhzJnUkqV+YWnckkC51o6YlTlJ7emL7OEa+tWlV2XnGL7KWKFfFSvXpyscUKFShzgRgU/7//UfVzcRF4zBiabxanB2w2KsfhcslpecRtzpxi+45fDxw7dkwJnj8owdMfu92OdtHj4jpm7Vrf7eKU4dKl8rFXX5WfVSyeLiPD+zkWFUU/7j2nRwFIsGbM8P3869GDvw4OtmNwsF3bd+dx9trmzvVdmaZfP1rHFB0bmY4ww2LCBMRHwUPJQ0K0z7zg1Vw8CWRRudoI2a2Fxcd9T7tT2zz6KL/HL79IDiz40EM8HQ4AnSvGq02ezF936sQ/UEwMd0YJDORTl0Zj/mt6ouiJ1p3obVS5suzZ2bUr2oOD0R4cTO8jLuSazfQHE+/VsSOZ6qIl2aYNJZR+8UXZW7NNm/yzrxgMZJ6XU86fP68Ezx+U4OlPUlISJnn69pcxjh6l55BY844helq2asXzarpc3iFXrOir6MHOtmnTqJK6r+ff+vX8uVyhQhJWqJCEADS79+WXvq/5808SLs/2iROpD2KBWWa0MDIyEBs2cOF3IFg1RqOmiC4X4upWgjW2cyddmJnJ18caNKCFyvh4bjm1bUsXs3xqBgOZw0zRDQZKtcU8HWvUkHJvSg4tzZvzGLqYGO48EhzMr7dYuIAZDPL0phjgLs5XV6woiWNSr16YxETUYKC6TWJQ+eOPI956K9+vUYP+YGJbVBQJ/e+/y1OvwcHyvcQtIqLcOq+oODw/UYKnPykpKZjCIq/LKFu3cqcPT16g8nIYFEQzdCKid3yzZtwBRRRJADJcEhIoK4yYzIMZI04nX9cLD0/B8PAUBKBZNbFMEduCgqj97FnvMnILF1IfsrNl48bTU3TPHsQqpnieOQWAl15HxKwzlzDb4L45S9Y5ZYq8Trd6NbXPmiW3CQ4s2Lo1LToyUaxfX57qGzqUe0cGBJBnIzsm5OTEhg354FWuzNcDQ0O5ORsQIA8WmzsGkIPHIyO16c6U8HBMuf12Ob7vvvtk8RwwQF7XCwoi910xlsVgoJi8xEQ6n7WbzTTHPHy4d+HGRo18pwoq45w+fVoJnj8owdOf1NTUMj/eO3bQc8oX06bRs+mNN7yPiUbE1q28ffVq+bkmJogWHREBeHLqTe7MXmFhqRgWlqpZcYiITz0lX9OhA78fSyzNNnHaVswA07Spd/9nz0bsDkJU++XL0vGMIfdTe2Agz8n266/cQmrWjCw6u523xcaScHo6sCxcyPenTOEOLwB0byZgdevKGVHE+d4OHfjruDiezy0mhnvrWK1ybJ64HigOfng4YqNGmBoWhqlhYVTBXPSu7N9fPr91azKbxeTTzzxDJrgYm9ezJ/26WbRIzhLTqxf9QvnxR3ovZrEOHlzunFjOnDmjBM8flODpT2lNLaYXkyaR9SdWSWewWqJ33SW3797Nn3OBgXLaLzEm22DgKRZzcugZHBmZiJGRiVilCn/PQzxSAAGkFJh4/Li8dHTkiNwXVgS3Y0fv/ufmUuz09nbj6aRz5+jAgQNUuNRTuQEo3OC11/j+N9/QNe+/z9veesvbgSU+nsdQmM2k8MyKioyUBbJfP24+h4ZKXpXYqRN/zUIdAMhTiA0EDSQ/JoYVtGjBhTIkBBM7d8ZEdm7z5nLYQqdOspVZowbFqYhrcz170h9cFMdatSh0Yf9++b2rVKHPPXo0meaLF1M4w/LlV/0eliXUlKafKMHTn7LktFIYZs6U81eK3HILGRSeeYFTUvgzzjMNmagLnvF5Q4ci2mx2tNns+NBD8jHRuPnsM/kY87UwGqVZSUREPHyY9KVXL9+f4ehRxPmzM+mBzdaU9uzJf+1p4UIKdmQOI61bk4WSm8unDaOjKYO3pwPL4cPc6mnZUk562rMnLwMPQGYtE6YGDfjaockkB363a8dfi9OWMTF8CtFolIWsdWtNHO2RkWgXvYzi4uT0Y02akECx/ZAQEj3RCo2LozG7/37eZrGQk096OqUZE3/lsH7FxtI4lTMLTzmt+IkSPP253gLPrzVX+qrdead3vTxGVBQ9U0+ckNv//ps/+zxDJFau5IHn334rH/vgA36dmAwbkdYWDQbvdTrGk0+Sb0h+pKYi4j//IP77L28UK9qK27PP0nFxoZLNo4pzqFOnUpvowLJjhxya8NJL8pzs/Plc2Gw2OXNJ795chKOi5KlKUfRa86KzWLMmXzs0m+VYjptuQgwIoNRi1ap5W3JiIdcaNWhum1mQRiNNb4qZyMPCSMCXLJEXVkeOpB8IK1d6u84C0JplORO8chF4Pnv2bGzfvj1arVYMDw8v1D2U4OlPWQo8v9ZMniyX6xFp04aedZ7k5dFzLzqaZv1EkpIQQ0IcWKGCw+u+6en07K5c2ffzcfBg8vj3RUoKOcAUmOnTvR/Q991Hx9LS+LRhhw7UKZeLey9arbRm5enAkpnJg86DgsgyYs4lNhulMWPC0qSJvIYnWloNGnArMyBAnt4ULbS4OB7uYLHIU4/t26PDnV4MzWZeDoNZqSw3HAA5tbz8srxeN3YsibZYWf3FF8mrVQxnaNaMvFXF4HVPq7kcUS4Cz59//nl87bXXcOLEiUrwriPKu4V3Ja7kYHfPPTSD54uuXeV1OJGePeNx8GDf4z16NM36+WLPHjpemL7mi9MpO5cAUOcZzIUVgJdr2LmTtz34ILV5OrDs3s1FrVMncudnotGuHc0ji/dgkfwWiyxC3brxKdLISNnqE9f6mjbl51mtXHABML57d4xnoQRGoxwmERpKViabWrVYyAoVxaxHD3JcEb08776bhF4Ua3YPX5vFwrOYlwPKhYXHWLZsmRK86whl4RUOsYyPJ5Mn0wyiL15+2YGLFvke723byIAozHsWGrtdEgiMi+PHLl/mFs+tt1Lb8eOInTtzAfn7b28HloQEmhpl91y8mKZA2f7MmXLE/fz5XLBq1JDzb4oCVa+eHBQupixr25Z7WIaEaCnMHDYbOrp149ONBgOZ5kyQAwPJG5N5gRoMJPTiNGrjxhRkKcb7NW9OYzFjhix2cXHesSQA5PLr4SVbVimKhWdARCx8vXT9Wb58OUyYMAFSUlKuem52djZkZ2dr+2lpaVCjRg24cOECGI1GCAkJAbvdDsHBwZCdnQ0mkwkAAJxOJwQGBoLD4dDOEf/NzMyEgIAAcLlcgIgQEBAAmZmZEBwc7HVuRkYGBAYGQl5eHhgMBjCZTJCdnQ02m83rXIfDAVarFXJzc8FoNILBYIDc3FywWq1e54r9NpvNgIhavzMyMnz2JTMzEywWCzidzmLpd05ODphMJq3fQUFBcPr0abDZbGC1WqV+Z2VlQUBAQKH7nZWV5bMvGRkZEBQUBLm5uVq/c3JyfI6hw+EAm82m/e3Ffvv62/vqt8ViueoYsn6bzWa//vZX6/e//zrghhvkfufl5UFgYCBs23YGIiKsULOm1WsMzeYAOHMGoVo1l19/+8L022g0en9njx6FkL59wZ6ZCcEAkH3oEJjMZvq/Nn8+BL7+OjhsNgj56COwz5sHIU2bgv3LLyEkJQUyu3eHgOXLAbdsAdfIkRCQkwOZ998PwbNmgb1HDwg5eBDsMTEQ8v33kDF2LATu3QvOwECApUvBNH48ZNvtYLNYwD5uHITMng32kBAIadYMHCkpYD14EHItFjD27w+GL76A3IAAsDZsCPZz5yAkPh7sFSpASN26YD98GIIzMiC7Uycwbd8O4HSCMyICAqtVgzPJyWDNzARrkyYQsmcP2J1OCLHbIfO++yDgiy/AlZcHaDZDwJgxkLlqFQRfvEh9GDoU7JcvQ8iXX0KGzQaBISGQt3AhGJYtA9P69ZBtsYDNagX7kiUQ4nSCfeJECDl/Hhw2G1ibNYPc7t3BuHEjGLZto35nZYG9Xz8Iee89sAvf3evhGeHv/zXW7/j4eGjSpAmkpqZCWFhYgfTDWKCzrzPmzp0L4eHh2lajRo2S7lK5w2q1gs1mK+lulCmqVcv/2A03WKFWLd/jbTAAlMh/gSpVAJYvBzCbATIyANLT+bGRIwGCg+n1vfcCHDoEEB8PMHQotW3dCvD77wCdOwN0705tX3xB582cSfsZGQBTpwK8/DKAxQLgdALMmgXwyit0PDUVYMsWgLvvpv3ffwdo3x6APSx/+onfe88egFatAAICAHJzAf77D6BBAzq2YwdAp040kHY7wJkzYK1VC2wOB8CffwI0aQJQoQLv4+DB9NlcLoAFCwCGDAGoXp2Ov/8+2Wbjx9N+YiLAqFEAffvytuRkgNGjAU6fBli9GqBZM2rfvh1g6VKASZMA+vWjvsbGAvz8M8B77xXxj1X6KdLz5NoYmYVj+vTpCABX3P5k0bNuCjKlmZWVpQU+p6amFilgUVE4ynscnt6U6vFmrqL//EOR+sOGkRemmMeSOZQkJnL3+1ataD3Q04ElL48cP9h1K1dSZQK2P368HHX/zDNylYWZM/l0YWysXKlc9KCsUUOebmSeowCYGBeHiWKasNtuk6dFR4+WU+o8/rjsINOpE03JitOUs2dT7IiY7PThh8nRx7MSAyts2749xT4+/zw5+5Rhrts4vISEBDx06NAVt0xWXsSNWsO7vigPmVZKE6V+vJ94AvGnn+j1Dz94JxRlD/LsbDl0gVWu9XRgSU3lFQ6ioqgMhbh+t3YtDzw3GCilF3MQqVBBTu912220jsfOFR1cmjSRy1i4SxelhoVhalwcrfGxY7ffLufEHDVKrrH3wAPyOmKjRhSkLwrj/fd7e2t27Eif78MPves4ARTSlfb6o1xlWlGCd31RHnJpliZK/Xjn5spJj1es8H5wA1C2lowMLma1a5Pzii8HFjF+7557yBJk1mH16uSNw5xKKleWKzC0bCm7+z/0EBdEq5Wi+UUnFpbdxWBAHD6ccmmGh5PTiGghdu/OxZMJmFgRffBgOdl11aoUhyeec8st5KorWpDVq1PFBTHuj21GI6VuK+OUi1yap06dwr179+LMmTMxJCQE9+7di3v37sX0AvhLK8HTn/JQLaE0cV2O95tvej+8WWLp5ct522uvUZtnBhZEeQryu+/IkmP7w4dTfB7b79lTLi00apRcOHbqVG55VqlCaWbYsb59uSAGBGDSAw9gEptWjIuTU9r06CGnBhs2TA5sv/12ufJ5WBji11/LFmq9euSp+thjvn8YeG61apV5b83rdkqzIIwYMQJ9rfFt3rzZ73sowdOf9PT0Av0oURSN63a8PYPUZ86k9rw8HuxdoQIVDFy/ngsJy8CSkMCTPlerRtHygwfz+33+OcXksf2XX5YLD86fzyslWK1UuJAda9ZMtt5GjtTWEtOjojBdnPps3FgOXO/VSw5WHzRIrunXti29N4sjDAigKUuxrxERlEPzvffk5NNisVpxGzasTGdfOXfuXNkXvGuBEjz9KUsVz68HrtvxdrnkYrB3382PiRbd//5HgsYSkQJwBxbRihszhhxfmENMZCTif/9x5xOzme7LKhwEBVGOSyYoNWrIVlWPHrLjyrhxiGYzVTyvW5emUtmxFi1k0evdW05g3bevnPezYUNy6BHzj86bR1lYmFON2UxlkX7/XU4+fcstVNiQWZlsY5XmyyCq4rmfKMHTHxV4ri/X9Xg7nTwQvEkT3u5ykUOJ+ECPiCBvRrb/zjt0Xp8+vG3LFiqnI4rW/v1yKaENG7jI1asne3l27CinC3voIS6gRiPiU09R4LnNRu1uRxYEoMDyjh35/p13yvvdu5OlKE5Ffv65XJpo3DgqeCsK4aRJtEYpTo3ecAP/3LVrkziGhlIdwTJIuUgtdi1Qgqc/KrWYvlz3452dTWtsFgvlzXzgAXIIEXNQsu3vv70dWM6c4efGxpLji+jKv2gRhQGIlqS4hti3r3z+gw/KlQ2mTeMOMDYbxk+ahPFsKrRePTmVWufOcraWPn3kadQuXXjlXgCaUv36a624LAJQCMRvv8mhGwMHkvUqOr2I2yefUHLqUaOoblQZo1ylFisKSvD057q2OK5DysR4Oxzk/HHkCK3FiWm4xO3jj307sCxZIltEdrucYPrIEVmY3ntPTjE2a5acS3PuXL5eZjLRVKPbqcVRvTo6xo/n5zZrRqLJ9u+4Q75X376yE0yHDnLuz7AwqhkoWnA334z411+8gCIAHT93DvGRR7zHpWpVWutkZZfKGMrC8xMlePpz3Vsc1xllZryTk6lyLSLF2onej2x77DE67llCyOnklpXRSKXft23jjiFt2yJeusRj3KxWinljNe+MRppKZLF0ZjOtsbEq4+HhWoxgfEwMxrdsKTuZ3HyzHDbQt68sev36IQ4YwPdbtUJcsID3LyiIAs9FYaxfnwL2xbJDvmLx2DZ8eAn94YofZeH5iRI8/SkTFsd1RJkd77Q0eXoQgGrSIfrOwDJuHF+ba9qUpvamTePXvvAC4h9/8CTPjRtTphJW/65iRbIe2X0rViTRY6JUpw7itGl8Da91a3kNr1cvObzgrru8RU90dGnShO7PMq6YTOREIwpp5cok3uI0KOuPr+3LL0vwD1Z8KAvPT5Tg6U9CQgImJCSUdDfKDWV6vNPTeSUFABIHVhRQzMDyxBN0TKxsPns2iR6LtzObqaTO3Ln8nDFj5MK17dvLgfEtWtB0pnA84ZFHMIFlSOnZU7bKhg6VHVVGjJD737+/LGj16yN++ikXXQByopkxg++HhFCmmsWLuVgbDPRjwHOds2JFxLJg7Xtw/PjxQj/Hy3TyaEXJExgYCIGBgSXdjXJDmR7vkBCAH34A6NKF9nNyAPbvp9dPPglwww30+vXX6VhiIiWCBgB44QVKBP3xxwBBQQB5eQDDhwOMGwdw2210zjvvUGLoJ56g/W3bKCn05Mm0v3cvJZceM0Y7HpiWBoGsP2vXAlSqBNCxI+1/+ilA48YAbdrQ/ocfAtx4IyXCBgD4+muApCSAxx6j/SNHAKZMAVixAiAqitqeeIKSYb/3HoDJREmre/cGsFoBfvyREmAjAvz6K70XAIDR/VhPSAAYO5aOlyEsFkvhLy4GAS61KAtPfy5fvoyXy3jmh9JEuRhvh4OHKbz2GjmrtGsn56Jk27p1PGtKhw60vvfGG/z4+PGIFy7woPPwcMR//5Uts5UrKZaO7c+ZQ84oAHg5IgIvT50qB6ZPniw7mEyeLAefjx/vbemJSa5r1KAcoGJg+dixlFJMTCg9Zw55qoo5PtnWqRNVlw8MJOeeMsSpU6fUlKY/KMHTn+TkZExOTi7pbpQbys14Z2SQ6AwfToVSmRem5/bhh/La3VtvkeiJ4QEbNtA0Idtv1w7x5Eke4B0cjLh9O89zaTDQ1GfDhpgcEYHJEREUByhWTH/9dTmX5ksvyYHrU6Z4i56YbaZyZeqXmFvz7rtp3ZGJMwBVUWBVKDy31aspVOO99yjco4xw8uRJJXj+oARPf9LS0jAtLa2ku1FuKFfjnZlJWUYQaa1KzIfJtpEjaZ2PpSILDiYxO3KEO7VUr075J8XKCc8+S4HrbJ3sxhsRd+/mSanDwhA3bsS02rUxLSSE1gw//5yLJHM6YfFzBgPi22/LIjhrlix6AwbIFSKioxF//lkOUejeXY4/vNIWE4N4veVV9YOzZ88qwfMHJXj6U6adKEoh5W68s7N53sjUVNkzEoBCDxApJRdL09W9O5XSET0c772XnFrEMj8//UQ5N9n+XXdRZQZ2n7g4TPj6a0xgohYdTYHjLHwhOJicUFiyabOZkmGLpYPmz/cWvQUL+H5EBImemH+zfXsSbLGvYjYWcRsxooT+MMVHUZxWlOApipUy6yZfSin3452VhThkiPzQP36cjj3+OG9joiWuvX32GZ3LrLiYGMTz5+X0Ym+8IVlhjr590SFWZmjQgKYSmWVYqRLF9LG1N5uN3kfMnPL2296i9+67vI8hITS9KfajcWPKDSoGuVerJnt4sm3dupL8i1xzVFiCnyjB058yEwh9naDGGykOT8xAMmcOOW5MmeItBsOGcfGpUIGyl4ihCbffTkHwbArRbKaac+46efExMRg/eTLF9bFrbrsN8f33+X5cHIkcm0KNiCBLsGJFLr5Ll3qL3kcfceG0WsmRZdQofk6dOhScL6ZCY1tAALf6atakOMYyggo89xMlePpT7i0OnVHj7cbl4vFrQ4bIQd/iVqkSVV4X18hcLnIGYW3z5lFqLyYgVauSJdiiBQ88X7lSzm358MNyyrD27cmBhlltVarQ9Cib7jSZ6B6eovf551woLRbEb76RPTorVaLSQS1aeH+2Pn0op2bNmhSIX0ZQFp6fKMHTH2Vx6Isabw8WL6YHflYWrWf5Er1du8jtn+0vWkRWHLOuTCbyjhSnLm+9FfHYMYyvX5+SR1utlL5MDGeYP59CJth+//6ICxfy/Xr1qJoDS0YdEEDZUTxF79tveRoxs5lEUHRuudL2/feUT/PLL8uMA4uy8PxECZ7+KItDX9R4+2D1ako/5nIhvviityjMnEkJptm0pdXKPT5Zqi9WSVwUxmeeQcfGjehgglWjBuLBg7zagcGA+NVXcv7LRx6Rpz+bNSPRY2t8gYFUsd1T9H76iTvDGI003Smu8+WXYqxWLYpbLEMoC89PlODpz3VbkPQ6RY13PogVwFevlhMvs5yc27dzq0605NjrQYMoFEIo5npp1Sq8JFptt9xCNffYVKXNRh6iYpqzF1+kcAq237EjWWKsTp/NRlXdPUVvyxaePsxgoKoQq1dzUc5ve/bZEhny4kIVgPUTJXj6k56ejunp6SXdjXKDGm8/2bFDrhzeubMcLsC2ypUpHIHtv/MOWYtuqy69cmVM/+sv2XFk7FjEjRt5hpdq1RD37ZNj8JYvp0wobL93b1qfY+t1oaGIW7d6i962bXJ18zfeIOvPU6gtFr7maDZT7F4Z4dy5c0rw/EEJnv6Um8wfpQQ13gXg5EmqUgBAjiCikIjb2rXkEQlAluH+/dp+ckQEJrdrR9OdYjWHd96hDCdsv0ULuo55ZprNdF+xQvu999L6HBOvChVI4DxFb9cufh8A38VxAciT9IUXKD6wY0fKMFMGKEqmFZU8WlGsGAwGMBgMJd2NcoMa7wJQqxbAb78B9OwJcOYMJYpu0sT7vHXrKBG02QyQlQVw660AJ04AWK1gQATDoUMA48cDrF4NUKMGXfPYYwD16wM8/TTt790L8PzzAN98A2CzUfLqu+6iZNGdOtE5K1dSEujlyymJ9eXLAH37Arz6Kk84vWYNwJw5AD//DFC1KrWlpfn+fJ9+SomxT50CGDYMYOvWazVyJUqRvt/FIMClFmXh6U+5SnVVClDjXQhycynzSm4uOa+IU5jMGSUnhwrOelhRaR06YBpzWlmyhNKPsTW1ihURT5yQA8afeoqcUpiTSZUqFPLQvLnsRCPG8VWpQtahp6V36BAvYpvf1qoVxSWWIYqSWkxZeIpiJScnB3Jyckq6G+UGNd6FwGwGmDmTyuoEB5Nl9PLLvMzOmTNklS1c6HVpTo0akFO7Nu2MG0dliSIiaD8hAWDQIIB33wVo2ZLa5s8HuHCBShEB0Ou77wZYtQogNpbapk8HyMwEePNNfk6fPnSNaOk9+STA4MG+Pw9j926ADz4o9NCURnJzcwt/cTEIcKlFWXj6o9zk9UWN9zVk/XrEyEjuVCKW5nFvjshIdGzYwK060VGEnTdsGOLZsxSwzo5t3Ij43HOyd+fhw/wcAApEFwvO1quHePSobOnltw0ezNcHo6MpW0wZoShhCcrCUxQrdrsd7HZ7SXej3KDG+xpy++0Au3YBNG0KcPgwrfE1aiSdYjebwX78OK3hAZBlBkBrdGw9cNUqWp8bNowfGzQIYOhQgAceoLZffwWYNo3WCyMjqW3ECCrqOn067R87Rmt6y5YBhIdfue9r1gDMm0drh507A8yYUbSxKEU4HI5CX2tARLyGfSnVpKWlQXh4OKSmpkJYWFhJd6dckJGRAQAANputhHtSPlDjXQw4HAAPPQQwaRJAXBw5pCxbBgAAGTYbgNEINl8/Mtq0IYeSI0fICaVCBYDkZHqNCFC3LjnNtG1L06YAJJxDh5JjTHY2VTZfvx5g8WKATz6hc6pXBzh79ur97tWLKsQDUB/q1ZOnO69TLl68CFWqVCnUc1xZeIpiRVkc+qLGuxgIDiYLrUoVWsv74APypLRawR4SAnabjVtlIn/+CfDaa3QNIokdAPeuPH4cYOBAgMREEkEAgAULAH7/HaBOHdrPzAS4806Aixf5fa8kdq1aAYSG0usffySxBCCP0TIgdgDKwvMbZeHpj7I49EWNt44cOAAZ994LcPQo2J59lqw1JjAMmw3A/TeRGDCAph1FIiIAUlLkNmYN+ovZTIL51VcAb71FVuTevWVG7ACUhacoxTgcjiL9IlMUDDXeOtKoETi++QYcQ4cCfPcdwNq1ZNFZLPyc/Dxm9+3zbjMauWcoIyDg6v0IDuav8/Iobm/ePLIgb7+dT4WWETJ8/YDwE2XhKYoV9vANFv9TKooNNd764nA4ABAh+LPPALp3p/W1ffsA7rkH4NAhOmnIELK4nM7i68ikSbSumJBA+zt30hoiAFmYZcjiv3DhAlStWlVZeIrSR3Z2NmRnZ5d0N8oNarz1JTs7G7JzcgAefBCgWjVqbN6cvDvHjqX9zEyAP/4AuPFG+WIWr1cYKlWS9w8cIC/O6dPJ4nvmGT4VWobEDgCK9P1WgqcoVkwmE5hMppLuRrlBjbe+SOMtpryy2QAWLaJUYn/+SZbfnj0ATzzBz6tQAeCRR7xvGhPj3ValirxvtdL0aYUKtP/DDwD//EPhB8eOUfjE5s1F/nylkaJ8v5XgKYoVldtRX9R468tVx7tvX3IaOXOGi9TmzeSFeeIEHf/lFwp3YLRrBzBxIoD4YG/ZEuCFF+geAAAnT5Jn6H//AUyYQE4pzz9PxypVIoeVm2++1h+3VFCU77cSPEWxkpeXB3l5eSXdjXKDGm998Wu8q1ShWDtG584A+/cDPPwwpQu75RbanzyZRO777ylN2a5dADfdRNf88AMFqx86xNOJvfgiBaC//jpNaQYHywmiAwOv7YctJRTl+60ET1GsBAYGQmAZ/Y9XGlHjrS+FHu/QUBK7xx4jp5KgIBKwP/8EaNaM8nY2b05rf4sWkbC98gpVeFi9GmDjRhLHzz+n+8XFAXz9NUDDhtfy45VKivL9VoKnKFaUm7y+qPHWlyKPd7duslNJixYAO3ZQIumcHBK1sWMptRkAwLlz/Lr9+wGiouT7VaxY+L5cJ6iwBD9RYQn6owKh9UWNt77oPt7Z2WV2qtJfihJ4XnbC7xWlEpbmSj2A9UGNt77oPt7lXOwAipZaTAmeolgJCQkp6S6UK9R464sab/0pSlIFJXiKYkVZHPqixltf1Hjrj7LwFKUW9QtYX9R464sab/0pioWnvDQVxUpmZiZksqKYimJHjbe+qPHWn6ysrEJfqyw8RbES4E+2d8U1Q423vqjx1h9zEUodKcFTFCvlKOqlVKDGW1/UeOtPUcZcCZ6iWHG5XCXdhXKFGm99UeOtP0UZcyV4imJFTfnoixpvfVHjrT9FGXPltKIoVtSivr6o8dYXNd76o5xWFKUWVXlbX9R464sab/0pSsyjEjxFsaICc/VFjbe+qPHWHxV4rii1qMBcfVHjrS9qvPVHpRZTlFrUL2B9UeOtL2q89UdZeIpSi/oFrC9qvPVFjbf+qNRiilJLRkZGkQo2KgqGGm99UeOtP0XxilUWnqJYCVT1u3RFjbe+qPHWH4vFUuhrleApihWn01nSXShXqPHWFzXe+lOUMVeCpyhWVK5BfVHjrS9qvPVH5dJUlFqKktlcUXDUeOuLGm/9KcqYK6cVRbGSnZ0N2dnZJd2NcoMab31R460/OTk5hb5W/TxRFCsqPklf1Hjrixpv/bFarYW+VgmeolhRgbn6osZbX9R4648KPFeUWlRgrr6o8dYXNd76o1KLKUot6hewvqjx1hc13vqjLDxFqUX9AtYXNd76osZbf5SFpyi1sF9j6hewPqjx1hc13vpTlFRuSvAUxUpRPKoUBUeNt76o8dafoKCgQl+rBE9RrOTm5pZ0F8oVarz1RY23/hRlzJXgKYoVg8FQ0l0oV6jx1hc13vpTlDFXgqcoVoxGlcxHT9R464sab/0pypgrwVMUK2rKR1/UeOuLGm/9ycvLK/S1SvAUxYpa1NcXNd76osZbf5TTiqLUogJz9UWNt76o8dYfFXiuKLWowFx9UeOtL2q89UcFnitKLeoXsL6o8dYXNd76oyw8RalF/QLWFzXe+qLGW3+UhacotahfwPqixltf1Hjrj7LwFKWWovwaUxQcNd76osZbf4ry40JFTSqKlezsbMjOzi7pbpQb1Hjrixpv/SnKeCsLT1GsmEymku5CuUKNt76o8dafooy5svAUCoVCUS5QFp6iWHE6nSXdhXKFGm99UeOtP0UZcyV4imIlMDCwpLtQrlDjrS9qvPWnKGOupjQVxYrD4SiSG7GiYKjx1hc13vqjKp4rSi0qMFdf1Hjrixpv/SlKKMh1YeGdPHkSHnzwQahTpw5YrVaoV68eTJ8+HXJyckq6a4qrYLfbteBcRfGjxltf1HjrT5kPPD98+DC4XC5YsmQJxMbGwj///AMPPfQQOBwOmD9/fkl3T3EF1C9gfVHjrS9qvPWnKBaeARHxGvZFN1555RVYvHgxHD9+PN9zPINCU1NToWbNmvDvv/+C0WiE4OBgcDgcYLPZIDs7W4vvcDqdEBgYCBkZGdo54r9ZWVlgNpvB5XIBIkJAQABkZWWBzWbzOjczMxMsFgvk5eWBwWAAk8kEOTk5YLVavc7NyMiAoKAgyM3NBaPRCAaDAfLy8iAoKMjrXLHfZrMZEFHrd2Zmps++ZGVlQUBAADidzmLpd05ODphMJq3fgYGBcPbsWbBarWC1Wq9pv7Ozs332JTMzEwIDAyE3N1frd25urs8xzMjIAKvVqv3txX77+tv76rfFYrnqGLJ+m81mv/72Ren3uXPnICgoSBpv8TuLiOByufz62xem30aj0a/vbEH/rxW03wBQLP/XPPt9tfFWz4irPyP8/b/G+n3p0iVo3749pKSkQHh4eIF047qw8HyRmpoKkZGRVzxn7ty5MHPmTK/2uLi44uqWQqFQKHQgKSmpwIJ3XVp4x44dg5YtW8Krr74Ko0ePzvc8TwsvJSUFatWqBadPny7wQCkKR1paGtSoUQPOnDkDYWFhJd2dMo8ab31R460/bKbu8uXLEBERUaBrS9TCmzFjhk8LTOTPP/+E1q1ba/vnz5+HHj16wJAhQ64odgAUr+ErZiM8PFx9OXUmLCxMjbmOqPHWFzXe+mM0FtznskQF77HHHoOhQ4de8ZzatWtrr8+fPw9dunSB9u3bw7vvvlvMvVMoFApFWaJEBS86Ohqio6P9OvfcuXPQpUsXaNWqFSxbtqxQ6q5QKBSK8st14bRy/vx5uPXWW6FmzZowf/58SEhI0I5VrlzZ7/sEBgbC9OnTVTogHVFjri9qvPVFjbf+FGXMrwunleXLl8MDDzzg89h10H2FQqFQlAKuC8FTKBQKhaKoqIUwhUKhUJQLlOApFAqFolygBE+hUCgU5QIleAqFQqEoF5RLwVPlhkqGOXPmQIcOHcBmsxU4JZDi6ixatAjq1KkDQUFB0KpVK/j1119Luktlml9++QX69OkDVatWBYPBAF9//XVJd6nMMnfuXGjTpg2EhoZCTEwM9O/fH44cOVLg+5RLwRPLDR04cABef/11eOedd2DKlCkl3bUyTU5ODgwZMgTGjh1b0l0pc3z22WcwYcIEmDp1KuzduxduueUW6NmzJ5w+fbqku1ZmcTgc0KxZM1i4cGFJd6XMs3XrVnj00Udh+/btsGHDBsjLy4M77rijwLXxVFiCG3/KDSmuDcuXL4cJEyZASkpKSXelzNC2bVto2bIlLF68WGtr0KAB9O/fH+bOnVuCPSsfGAwGWLNmDfTv37+ku1IuSEhIgJiYGNi6dSt06tTJ7+vKpYXnC3/KDSkUpZGcnBzYvXs33HHHHVL7HXfcAX/88UcJ9UqhKD5SU1MBAAr8zFaCB1Ru6K233oIxY8aUdFcUigKTmJgITqcTKlWqJLVXqlQJLl68WEK9UiiKB0SEiRMnQseOHaFx48YFurZMCd6MGTPAYDBccdu1a5d0TUHKDSm8KcyYK4oHg8Eg7SOiV5tCcb3z2GOPwV9//QWrVq0q8LXXRfJof1HlhvSnoGOuuPZER0eDyWTysuYuXbrkZfUpFNcz48aNg2+//RZ++eUXqF69eoGvL1OCp8oNAJYXkwAAAzFJREFU6U9BxlxRPFgsFmjVqhVs2LABBgwYoLVv2LAB+vXrV4I9UyiuDYgI48aNgzVr1sCWLVugTp06hbpPmRI8f7lW5YYUBeP06dOQnJwMp0+fBqfTCfv27QMAgNjYWAgJCSnZzl3nTJw4Ee677z5o3bq1NmNx+vRptS5djNjtdvjvv/+0/RMnTsC+ffsgMjISatasWYI9K3s8+uij8Mknn8A333wDoaGh2mxGeHg4WK1W/2+E5ZBly5YhAPjcFMXHiBEjfI755s2bS7prZYK3334ba9WqhRaLBVu2bIlbt24t6S6VaTZv3uzz+zxixIiS7lqZI7/n9bJlywp0HxWHp1AoFIpygVq4UigUCkW5QAmeQqFQKMoFSvAUCoVCUS5QgqdQKBSKcoESPIVCoVCUC5TgKRQKhaJcoARPoVAoFOUCJXgKhUKhKBcowVMoFApFuUAJnkJxnbJq1SoICgqCc+fOaW2jR4+Gpk2bagUyFQoFR6UWUyiuUxARmjdvDrfccgssXLgQZs6cCe+//z5s374dqlWrVtLdUyhKHeWyWoJCURYwGAwwZ84cGDx4MFStWhUWLFgAv/76qyZ2AwYMgC1btkC3bt3giy++KOHeKhQlj7LwFIrrnJYtW8KBAwdg/fr10LlzZ6198+bNYLfb4cMPP1SCp1CAWsNTKK5rfvrpJzh8+DA4nU6v6uZdunSB0NDQEuqZQlH6UIKnUFyn7NmzB4YMGQJLliyB7t27w3PPPVfSXVIoSjVqDU+huA45efIk9O7dG5599lm47777oGHDhtCmTRvYvXs3tGrVqqS7p1CUSpSFp1BcZyQnJ0PPnj2hb9++MGXKFAAAaNWqFfTp0wemTp1awr1TKEovysJTKK4zIiMj4dChQ17t33zzTQn0RqG4flBemgpFGaV79+6wZ88ecDgcEBkZCWvWrIE2bdqUdLcUihJDCZ5CoVAoygVqDU+hUCgU5QIleAqFQqEoFyjBUygUCkW5QAmeQqFQKMoFSvAUCoVCUS5QgqdQKBSKcoESPIVCoVCUC5TgKRQKhaJcoARPoVAoFOUCJXgKhUKhKBcowVMoFApFueD//hpEpscvLsQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.quiver(xx1 * 0, xx2 * 0, uu, vv,  # 在原点绘制蓝色原始向量\n",
    "          angles='xy', scale_units='xy', scale=1, \n",
    "          edgecolor='none', facecolor='b')\n",
    "ax.quiver(xx1 * 0, xx2 * 0, uu_new, vv_new,  # 在原点绘制红色变换后向量\n",
    "          angles='xy', scale_units='xy', scale=1, \n",
    "          edgecolor='none', facecolor='r')\n",
    "\n",
    "plt.ylabel('$x_2$')\n",
    "plt.xlabel('$x_1$')\n",
    "plt.axis('scaled')\n",
    "ax.set_xlim([-2, 2])\n",
    "ax.set_ylim([-2, 2])\n",
    "ax.grid(linestyle='--', linewidth=0.25, color=[0.5, 0.5, 0.5])\n",
    "ax.set_xticks(np.linspace(-2, 2, 5))\n",
    "ax.set_yticks(np.linspace(-2, 2, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
